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32100123342 = 2372831797349
BaseRepresentation
bin11101111001010100…
…010000001011001110
310001212010001020000010
4131321110100023032
51011220112421332
622425133014050
72214320355300
oct357124201316
9101763036003
1032100123342
1112682756861
12627a324326
1330474c7131
1417a7327970
15c7d1b79cc
hex7795102ce

32100123342 has 96 divisors (see below), whose sum is σ = 76014288000. Its totient is φ = 9009118272.

The previous prime is 32100123283. The next prime is 32100123353. The reversal of 32100123342 is 24332100123.

It is a super-2 number, since 2×321001233422 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4364284 + ... + 4371632.

It is an arithmetic number, because the mean of its divisors is an integer number (791815500).

Almost surely, 232100123342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32100123342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38007144000).

32100123342 is an abundant number, since it is smaller than the sum of its proper divisors (43914164658).

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

32100123342 is a wasteful number, since it uses less digits than its factorization.

32100123342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7630 (or 7623 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 32100123342 its reverse (24332100123), we get a palindrome (56432223465).

The spelling of 32100123342 in words is "thirty-two billion, one hundred million, one hundred twenty-three thousand, three hundred forty-two".

Divisors: 1 2 3 6 7 14 21 42 49 83 98 147 166 179 249 294 358 498 537 581 1074 1162 1253 1743 2506 3486 3759 4067 7349 7518 8134 8771 12201 14698 14857 17542 22047 24402 26313 29714 44094 44571 51443 52626 89142 102886 103999 154329 207998 308658 311997 360101 609967 623994 720202 727993 1080303 1219934 1315471 1455986 1829901 2160606 2183979 2630942 3659802 3946413 4269769 4367958 7892826 8539538 9208297 12809307 18416594 25618614 27624891 29888383 55249782 59776766 64458079 89665149 109184093 128916158 179330298 193374237 218368186 327552279 386748474 655104558 764288651 1528577302 2292865953 4585731906 5350020557 10700041114 16050061671 32100123342