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101040253120 = 2652357133963
BaseRepresentation
bin101111000011001110…
…1111110100011000000
3100122210200001200021001
41132012131332203000
53123412301044440
6114230043141344
710204604660302
oct1360635764300
9318720050231
10101040253120
113993a652724
12176ba214854
1396b31a1731
144c67289972
15296571cb9a
hex178677e8c0

101040253120 has 56 divisors (see below), whose sum is σ = 240705979344. Its totient is φ = 40398652416.

The previous prime is 101040253103. The next prime is 101040253129. The reversal of 101040253120 is 21352040101.

It is not an unprimeable number, because it can be changed into a prime (101040253129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 687259 + ... + 821221.

Almost surely, 2101040253120 is an apocalyptic number.

101040253120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101040253120 is an abundant number, since it is smaller than the sum of its proper divisors (139665726224).

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

101040253120 is a wasteful number, since it uses less digits than its factorization.

101040253120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 136337 (or 136327 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 19.

Adding to 101040253120 its reverse (21352040101), we get a palindrome (122392293221).

The spelling of 101040253120 in words is "one hundred one billion, forty million, two hundred fifty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 2357 4714 9428 11785 18856 23570 37712 47140 75424 94280 133963 150848 188560 267926 377120 535852 669815 754240 1071704 1339630 2143408 2679260 4286816 5358520 8573632 10717040 21434080 42868160 315750791 631501582 1263003164 1578753955 2526006328 3157507910 5052012656 6315015820 10104025312 12630031640 20208050624 25260063280 50520126560 101040253120