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106247831140 = 2251117195114561
BaseRepresentation
bin110001011110011011…
…1010011111001100100
3101011020121001001100001
41202330313103321210
53220043421044030
6120450511431044
710450630443433
oct1427467237144
9334217031301
10106247831140
1141072149110
1218712225484
13a03303b949
1451dcb4311a
152b6c9c8cca
hex18bcdd3e64

106247831140 has 96 divisors (see below), whose sum is σ = 257871817728. Its totient is φ = 36341760000.

The previous prime is 106247831117. The next prime is 106247831143. The reversal of 106247831140 is 41138742601.

It is a super-2 number, since 2×1062478311402 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 106247831140.

It is not an unprimeable number, because it can be changed into a prime (106247831143) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7289460 + ... + 7304020.

It is an arithmetic number, because the mean of its divisors is an integer number (2686164768).

Almost surely, 2106247831140 is an apocalyptic number.

106247831140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 106247831140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128935908864).

106247831140 is an abundant number, since it is smaller than the sum of its proper divisors (151623986588).

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

106247831140 is a wasteful number, since it uses less digits than its factorization.

106247831140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16549 (or 16547 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 37.

The spelling of 106247831140 in words is "one hundred six billion, two hundred forty-seven million, eight hundred thirty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 11 17 20 22 34 44 55 68 85 110 170 187 220 340 374 748 935 1870 1951 3740 3902 7804 9755 14561 19510 21461 29122 33167 39020 42922 58244 66334 72805 85844 107305 132668 145610 160171 165835 214610 247537 291220 320342 331670 364837 429220 495074 640684 663340 729674 800855 990148 1237685 1459348 1601710 1824185 2475370 2722907 3203420 3648370 4950740 5445814 7296740 10891628 13614535 27229070 28408511 54458140 56817022 113634044 142042555 284085110 312493621 482944687 568170220 624987242 965889374 1249974484 1562468105 1931778748 2414723435 3124936210 4829446870 5312391557 6249872420 9658893740 10624783114 21249566228 26561957785 53123915570 106247831140