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10136102712 = 233171091132017
BaseRepresentation
bin10010111000010100…
…01010011100111000
3222011101212100221120
421130022022130320
5131224320241322
64353443505240
7506116310601
oct113412123470
928141770846
1010136102712
114331624a9a
121b6a688220
13c56c61918
146c2270da8
153e4ce4a5c
hex25c28a738

10136102712 has 128 divisors (see below), whose sum is σ = 27330177600. Its totient is φ = 3121348608.

The previous prime is 10136102693. The next prime is 10136102719. The reversal of 10136102712 is 21720163101.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10136102719) 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, 5024328 + ... + 5026344.

Almost surely, 210136102712 is an apocalyptic number.

10136102712 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 10136102712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13665088800).

10136102712 is an abundant number, since it is smaller than the sum of its proper divisors (17194074888).

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

10136102712 is a wasteful number, since it uses less digits than its factorization.

10136102712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2265 (or 2261 counting only the distinct ones).

The product of its (nonzero) digits is 504, while the sum is 24.

Adding to 10136102712 its reverse (21720163101), we get a palindrome (31856265813).

The spelling of 10136102712 in words is "ten billion, one hundred thirty-six million, one hundred two thousand, seven hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 109 113 136 204 218 226 327 339 408 436 452 654 678 872 904 1308 1356 1853 1921 2017 2616 2712 3706 3842 4034 5559 5763 6051 7412 7684 8068 11118 11526 12102 12317 14824 15368 16136 22236 23052 24204 24634 34289 36951 44472 46104 48408 49268 68578 73902 98536 102867 137156 147804 205734 209389 219853 227921 274312 295608 411468 418778 439706 455842 628167 659559 683763 822936 837556 879412 911684 1256334 1319118 1367526 1675112 1758824 1823368 2512668 2638236 2735052 3737501 3874657 5025336 5276472 5470104 7475002 7749314 11212503 11623971 14950004 15498628 22425006 23247942 24843389 29900008 30997256 44850012 46495884 49686778 74530167 89700024 92991768 99373556 149060334 198747112 298120668 422337613 596241336 844675226 1267012839 1689350452 2534025678 3378700904 5068051356 10136102712