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10155100660 = 2253761224969
BaseRepresentation
bin10010111010100101…
…01000100111110100
3222012201121120020021
421131102220213310
5131244201210120
64355403014524
7506436634315
oct113522504764
928181546207
1010155100660
114341320481
121b74b0a444
13c5ab83c03
146c49b860c
153e67e8aaa
hex25d4a89f4

10155100660 has 48 divisors (see below), whose sum is σ = 22261231440. Its totient is φ = 3887447040.

The previous prime is 10155100619. The next prime is 10155100661. The reversal of 10155100660 is 6600155101.

10155100660 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 728244196 + 9426856464 = 26986^2 + 97092^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10155100661) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 67345 + ... + 157624.

It is an arithmetic number, because the mean of its divisors is an integer number (463775655).

Almost surely, 210155100660 is an apocalyptic number.

10155100660 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10155100660 is an abundant number, since it is smaller than the sum of its proper divisors (12106130780).

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

10155100660 is a wasteful number, since it uses less digits than its factorization.

10155100660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225076 (or 225074 counting only the distinct ones).

The product of its (nonzero) digits is 900, while the sum is 25.

Adding to 10155100660 its reverse (6600155101), we get a palindrome (16755255761).

The spelling of 10155100660 in words is "ten billion, one hundred fifty-five million, one hundred thousand, six hundred sixty".

Divisors: 1 2 4 5 10 20 37 61 74 122 148 185 244 305 370 610 740 1220 2257 4514 9028 11285 22570 45140 224969 449938 899876 1124845 2249690 4499380 8323853 13723109 16647706 27446218 33295412 41619265 54892436 68615545 83238530 137231090 166477060 274462180 507755033 1015510066 2031020132 2538775165 5077550330 10155100660