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101022320400132 = 223191172507255503
BaseRepresentation
bin10110111110000100010111…
…100001011001011100000100
3111020200122021012111202121010
4112332010113201121130010
5101220122203010301012
6554505002512522220
730164423163153165
oct2676042741313404
9436618235452533
10101022320400132
112a20936424604a
12b3b6976850370
13444a496754b31
141ad371379d76c
15ba2c50852c3c
hex5be117859704

101022320400132 has 48 divisors (see below), whose sum is σ = 236955178156032. Its totient is φ = 33497477289120.

The previous prime is 101022320400107. The next prime is 101022320400139. The reversal of 101022320400132 is 231004023220101.

It is a junction number, because it is equal to n+sod(n) for n = 101022320400099 and 101022320400108.

It is not an unprimeable number, because it can be changed into a prime (101022320400139) 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, 395258293 + ... + 395513795.

It is an arithmetic number, because the mean of its divisors is an integer number (4936566211584).

Almost surely, 2101022320400132 is an apocalyptic number.

101022320400132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101022320400132 is an abundant number, since it is smaller than the sum of its proper divisors (135932857755900).

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

101022320400132 is a wasteful number, since it uses less digits than its factorization.

101022320400132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428208 (or 428206 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

Adding to 101022320400132 its reverse (231004023220101), we get a palindrome (332026343620233).

The spelling of 101022320400132 in words is "one hundred one trillion, twenty-two billion, three hundred twenty million, four hundred thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 191 382 573 764 1146 2292 172507 255503 345014 511006 517521 690028 766509 1022012 1035042 1533018 2070084 3066036 32948837 48801073 65897674 97602146 98846511 131795348 146403219 195204292 197693022 292806438 395386044 585612876 44076056021 88152112042 132228168063 176304224084 264456336126 528912672252 8418526700011 16837053400022 25255580100033 33674106800044 50511160200066 101022320400132