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101301113032 = 23719215344221
BaseRepresentation
bin101111001011000000…
…1000101000011001000
3100200110211220201210021
41132112001011003020
53124431041104112
6114312002230224
710214223152650
oct1362601050310
9320424821707
10101301113032
1139a63923629
1217771655374
139725247202
144c8db91360
15297d599907
hex17960450c8

101301113032 has 64 divisors (see below), whose sum is σ = 228610051200. Its totient is φ = 41109742080.

The previous prime is 101301113021. The next prime is 101301113033. The reversal of 101301113032 is 230311103101.

It is a junction number, because it is equal to n+sod(n) for n = 101301112997 and 101301113015.

It is not an unprimeable number, because it can be changed into a prime (101301113033) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2268682 + ... + 2312902.

It is an arithmetic number, because the mean of its divisors is an integer number (3572032050).

Almost surely, 2101301113032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101301113032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114305025600).

101301113032 is an abundant number, since it is smaller than the sum of its proper divisors (127308938168).

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

101301113032 is a wasteful number, since it uses less digits than its factorization.

101301113032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46406 (or 46402 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 16.

Adding to 101301113032 its reverse (230311103101), we get a palindrome (331612216133).

The spelling of 101301113032 in words is "one hundred one billion, three hundred one million, one hundred thirteen thousand, thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 532 1064 2153 4306 8612 15071 17224 30142 40907 44221 60284 81814 88442 120568 163628 176884 286349 309547 327256 353768 572698 619094 840199 1145396 1238188 1680398 2290792 2476376 3360796 5881393 6721592 11762786 23525572 47051144 95207813 190415626 380831252 666454691 761662504 1332909382 1808948447 2665818764 3617896894 5331637528 7235793788 12662639129 14471587576 25325278258 50650556516 101301113032