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106281887232 = 293411687657
BaseRepresentation
bin110001011111011100…
…1001110011000000000
3101011022222010021111210
41202332321032120000
53220131130342412
6120454125410120
710451523064353
oct1427671163000
9334288107453
10106281887232
114108a399a44
1218721709940
13a03a103b91
14520348a29a
152b709a483c
hex18bee4e600

106281887232 has 80 divisors (see below), whose sum is σ = 290047654512. Its totient is φ = 34563194880.

The previous prime is 106281887209. The next prime is 106281887267. The reversal of 106281887232 is 232788182601.

It is a super-2 number, since 2×1062818872322 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 7 ways as a sum of consecutive naturals, for example, 780853 + ... + 906804.

Almost surely, 2106281887232 is an apocalyptic number.

106281887232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

106281887232 is an abundant number, since it is smaller than the sum of its proper divisors (183765767280).

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

106281887232 is an equidigital number, since it uses as much as digits as its factorization.

106281887232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1687719 (or 1687703 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 48.

The spelling of 106281887232 in words is "one hundred six billion, two hundred eighty-one million, eight hundred eighty-seven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 256 328 384 492 512 656 768 984 1312 1536 1968 2624 3936 5248 7872 10496 15744 20992 31488 62976 1687657 3375314 5062971 6750628 10125942 13501256 20251884 27002512 40503768 54005024 69193937 81007536 108010048 138387874 162015072 207581811 216020096 276775748 324030144 415163622 432040192 553551496 648060288 830327244 864080384 1107102992 1296120576 1660654488 2214205984 2592241152 3321308976 4428411968 6642617952 8856823936 13285235904 17713647872 26570471808 35427295744 53140943616 106281887232