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10123311022032 = 2431328157734003
BaseRepresentation
bin1001001101010000010001…
…0110110111111111010000
31022211210000221200012200110
42103110010112313333100
52311330020110201112
633310330200121320
72063246040626205
oct223240426677720
938753027605613
1010123311022032
1132532aa180a8a
121175b70466240
135858162b3a10
1426dd840bdcac
151284e592713c
hex935045b7fd0

10123311022032 has 80 divisors (see below), whose sum is σ = 28263797126208. Its totient is φ = 3103779947520.

The previous prime is 10123311022021. The next prime is 10123311022039. The reversal of 10123311022032 is 23022011332101.

10123311022032 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10123311022039) 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, 28691658 + ... + 29042345.

Almost surely, 210123311022032 is an apocalyptic number.

10123311022032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10123311022032 is an abundant number, since it is smaller than the sum of its proper divisors (18140486104176).

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

10123311022032 is a wasteful number, since it uses less digits than its factorization.

10123311022032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57734308 (or 57734302 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10123311022032 its reverse (23022011332101), we get a palindrome (33145322354133).

The spelling of 10123311022032 in words is "ten trillion, one hundred twenty-three billion, three hundred eleven million, twenty-two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 39 48 52 78 104 156 208 281 312 562 624 843 1124 1686 2248 3372 3653 4496 6744 7306 10959 13488 14612 21918 29224 43836 58448 87672 175344 57734003 115468006 173202009 230936012 346404018 461872024 692808036 750542039 923744048 1385616072 1501084078 2251626117 2771232144 3002168156 4503252234 6004336312 9006504468 12008672624 16223254843 18013008936 32446509686 36026017872 48669764529 64893019372 97339529058 129786038744 194679058116 210902312959 259572077488 389358116232 421804625918 632706938877 778716232464 843609251836 1265413877754 1687218503672 2530827755508 3374437007344 5061655511016 10123311022032