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10105370028 = 2233137197557
BaseRepresentation
bin10010110100101001…
…11011010110101100
3222002021000222122000
421122110323112230
5131143433320103
64350425052300
7505264141125
oct113224732654
928067028560
1010105370028
114316244086
121b60327090
13c507912c0
146bc15104c
153e2273aa3
hex25a53b5ac

10105370028 has 48 divisors (see below), whose sum is σ = 28214427360. Its totient is φ = 3109344192.

The previous prime is 10105370003. The next prime is 10105370029. The reversal of 10105370028 is 82007350101.

10105370028 is a `hidden beast` number, since 101 + 0 + 537 + 0 + 0 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 10105369983 and 10105370010.

It is not an unprimeable number, because it can be changed into a prime (10105370029) 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, 3597375 + ... + 3600182.

It is an arithmetic number, because the mean of its divisors is an integer number (587800570).

Almost surely, 210105370028 is an apocalyptic number.

10105370028 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10105370028 is an abundant number, since it is smaller than the sum of its proper divisors (18109057332).

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

10105370028 is a wasteful number, since it uses less digits than its factorization.

10105370028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7197583 (or 7197575 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The spelling of 10105370028 in words is "ten billion, one hundred five million, three hundred seventy thousand, twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 234 351 468 702 1404 7197557 14395114 21592671 28790228 43185342 64778013 86370684 93568241 129556026 187136482 194334039 259112052 280704723 374272964 388668078 561409446 777336156 842114169 1122818892 1684228338 2526342507 3368456676 5052685014 10105370028