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4010113206 = 23211373071783
BaseRepresentation
bin1110111100000101…
…0111100010110110
3101100110201212011100
43233001113202312
531203042110311
61501530350530
7201242254101
oct35701274266
911313655140
104010113206
111778671450
1293ab8b446
134bba52968
142a0827738
151870c1a56
hexef0578b6

4010113206 has 96 divisors (see below), whose sum is σ = 9771810048. Its totient is φ = 1177830720.

The previous prime is 4010113171. The next prime is 4010113207. The reversal of 4010113206 is 6023110104.

It is a happy number.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4010113207) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2248191 + ... + 2249973.

It is an arithmetic number, because the mean of its divisors is an integer number (101789688).

Almost surely, 24010113206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4010113206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4885905024).

4010113206 is an abundant number, since it is smaller than the sum of its proper divisors (5761696842).

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

4010113206 is a wasteful number, since it uses less digits than its factorization.

4010113206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2146 (or 2143 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 4010113206 is about 63325.4546450320. The cubic root of 4010113206 is about 1588.7377355742.

The spelling of 4010113206 in words is "four billion, ten million, one hundred thirteen thousand, two hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 307 333 407 614 666 814 921 1221 1783 1842 2442 2763 3377 3566 3663 5349 5526 6754 7326 10131 10698 11359 16047 19613 20262 22718 30393 32094 34077 39226 58839 60786 65971 68154 102231 117678 124949 131942 176517 197913 204462 249898 353034 374847 395826 547381 593739 725681 749694 1094762 1124541 1187478 1451362 1642143 2177043 2249082 3284286 4354086 4926429 6021191 6531129 9852858 12042382 13062258 18063573 20253097 36127146 40506194 54190719 60759291 108381438 121518582 182277873 222784067 364555746 445568134 668352201 1336704402 2005056603 4010113206