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1010413332 = 223347672971
BaseRepresentation
bin111100001110011…
…010111100010100
32121102021022112000
4330032122330110
54032131211312
6244132355300
734016241315
oct7416327424
92542238460
101010413332
11479396545
12242475b30
13131444c16
149829c60c
155da8badc
hex3c39af14

1010413332 has 96 divisors (see below), whose sum is σ = 2716170240. Its totient is φ = 324609120.

The previous prime is 1010413321. The next prime is 1010413361. The reversal of 1010413332 is 2333140101.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338607 + ... + 341577.

It is an arithmetic number, because the mean of its divisors is an integer number (28293440).

Almost surely, 21010413332 is an apocalyptic number.

1010413332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1010413332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1358085120).

1010413332 is an abundant number, since it is smaller than the sum of its proper divisors (1705756908).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1010413332 is a wasteful number, since it uses less digits than its factorization.

1010413332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3098 (or 3090 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 1010413332 is about 31786.9994180011. Note that the first 3 decimals coincide. The cubic root of 1010413332 is about 1003.4591312806.

Adding to 1010413332 its reverse (2333140101), we get a palindrome (3343553433).

It can be divided in two parts, 10104 and 13332, that added together give a triangular number (23436 = T216).

The spelling of 1010413332 in words is "one billion, ten million, four hundred thirteen thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 67 94 108 134 141 188 201 268 282 402 423 564 603 804 846 1206 1269 1692 1809 2412 2538 2971 3149 3618 5076 5942 6298 7236 8913 9447 11884 12596 17826 18894 26739 28341 35652 37788 53478 56682 80217 85023 106956 113364 139637 160434 170046 199057 279274 320868 340092 398114 418911 558548 597171 796228 837822 1194342 1256733 1675644 1791513 2388684 2513466 3583026 3770199 5026932 5374539 7166052 7540398 9355679 10749078 15080796 18711358 21498156 28067037 37422716 56134074 84201111 112268148 168402222 252603333 336804444 505206666 1010413332