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103010034402 = 232111932218501
BaseRepresentation
bin101111111101111100…
…0000110001011100010
3100211212221112221012100
41133323320012023202
53141431032100102
6115153330311230
710304453563002
oct1377370061342
9324787487170
10103010034402
113a76052a540
1217b69a28516
1399382c83a2
144db2b1a002
152a2d611a1c
hex17fbe062e2

103010034402 has 96 divisors (see below), whose sum is σ = 256402635840. Its totient is φ = 29559600000.

The previous prime is 103010034401. The next prime is 103010034419. The reversal of 103010034402 is 204430010301.

It is a super-2 number, since 2×1030100344022 (a number of 23 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103010034401) 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, 12113152 + ... + 12121652.

It is an arithmetic number, because the mean of its divisors is an integer number (2670860790).

Almost surely, 2103010034402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103010034402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128201317920).

103010034402 is an abundant number, since it is smaller than the sum of its proper divisors (153392601438).

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

103010034402 is a wasteful number, since it uses less digits than its factorization.

103010034402 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11760 (or 11757 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103010034402 its reverse (204430010301), we get a palindrome (307440044703).

The spelling of 103010034402 in words is "one hundred three billion, ten million, thirty-four thousand, four hundred two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 198 209 342 418 627 1254 1881 3221 3762 6442 8501 9663 17002 19326 25503 28989 35431 51006 57978 61199 70862 76509 93511 106293 122398 153018 161519 183597 187022 212586 280533 318879 323038 367194 484557 550791 561066 637758 673189 841599 969114 1101582 1346378 1453671 1683198 1776709 2019567 2907342 3553418 4039134 5330127 6058701 10660254 12117402 15990381 27381721 31980762 54763442 82145163 164290326 246435489 301198931 492870978 520252699 602397862 903596793 1040505398 1560758097 1807193586 2710790379 3121516194 4682274291 5421580758 5722779689 9364548582 11445559378 17168339067 34336678134 51505017201 103010034402