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101011232128 = 271749199437
BaseRepresentation
bin101111000010010111…
…1010001010110000000
3100122201122110020221111
41132010233101112000
53123332333412003
6114223125133104
710204103210062
oct1360457212600
9318648406844
10101011232128
1139925230834
12176b055a194
1396aa180251
144c63493732
152962dd8e6d
hex1784bd1580

101011232128 has 64 divisors (see below), whose sum is σ = 213136466400. Its totient is φ = 47519997952.

The previous prime is 101011232099. The next prime is 101011232129. The reversal of 101011232128 is 821232110101.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 101011232099 and 101011232108.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101011232129) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 10699026 + ... + 10708462.

Almost surely, 2101011232128 is an apocalyptic number.

It is an amenable number.

101011232128 is an abundant number, since it is smaller than the sum of its proper divisors (112125234272).

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

101011232128 is an equidigital number, since it uses as much as digits as its factorization.

101011232128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14387 (or 14375 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 22.

Adding to 101011232128 its reverse (821232110101), we get a palindrome (922243342229).

The spelling of 101011232128 in words is "one hundred one billion, eleven million, two hundred thirty-two thousand, one hundred twenty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 272 544 1088 2176 4919 9437 9838 18874 19676 37748 39352 75496 78704 83623 150992 157408 160429 167246 301984 314816 320858 334492 603968 629632 641716 668984 1207936 1283432 1337968 2566864 2675936 5133728 5351872 10267456 10703744 20534912 46420603 92841206 185682412 371364824 742729648 789150251 1485459296 1578300502 2970918592 3156601004 5941837184 6313202008 12626404016 25252808032 50505616064 101011232128