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101013330 = 23511378273
BaseRepresentation
bin1100000010101…
…01011101010010
321001002000020110
412001111131102
5201324411310
614005022150
72334412335
oct601253522
9231060213
10101013330
11520238a0
12299b4956
1317c09b02
14d5b661c
158d04d20
hex6055752

101013330 has 64 divisors (see below), whose sum is σ = 271651968. Its totient is φ = 23823360.

The previous prime is 101013317. The next prime is 101013331. The reversal of 101013330 is 33310101.

It is not an unprimeable number, because it can be changed into a prime (101013331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8074 + ... + 16346.

It is an arithmetic number, because the mean of its divisors is an integer number (4244562).

Almost surely, 2101013330 is an apocalyptic number.

101013330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101013330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135825984).

101013330 is an abundant number, since it is smaller than the sum of its proper divisors (170638638).

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

101013330 is a wasteful number, since it uses less digits than its factorization.

101013330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8331.

The product of its (nonzero) digits is 27, while the sum is 12.

The square root of 101013330 is about 10050.5387915275. The cubic root of 101013330 is about 465.7214376470.

Adding to 101013330 its reverse (33310101), we get a palindrome (134323431).

It can be divided in two parts, 10101 and 3330, that added together give a palindrome (13431).

The spelling of 101013330 in words is "one hundred one million, thirteen thousand, three hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 8273 12210 16546 24819 41365 49638 82730 91003 124095 182006 248190 273009 306101 455015 546018 612202 910030 918303 1365045 1530505 1836606 2730090 3061010 3367111 4591515 6734222 9183030 10101333 16835555 20202666 33671110 50506665 101013330