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101012321988 = 22324133678901
BaseRepresentation
bin101111000010011001…
…1011011011011000100
3100122201201111121221200
41132010303123123010
53123333123300423
6114223204342500
710204115366364
oct1360463333304
9318651447850
10101012321988
1139925905646
12176b09a4a30
1396aa472336
144c636989a4
152963051d43
hex1784cdb6c4

101012321988 has 36 divisors (see below), whose sum is σ = 255398858988. Its totient is φ = 33662577600.

The previous prime is 101012321957. The next prime is 101012321989. The reversal of 101012321988 is 889123210101.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 81749102724 + 19263219264 = 285918^2 + 138792^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (101012321989) 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 11 ways as a sum of consecutive naturals, for example, 190663 + ... + 488238.

Almost surely, 2101012321988 is an apocalyptic number.

101012321988 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

101012321988 is an abundant number, since it is smaller than the sum of its proper divisors (154386537000).

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

101012321988 is a wasteful number, since it uses less digits than its factorization.

101012321988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683044 (or 683039 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The spelling of 101012321988 in words is "one hundred one billion, twelve million, three hundred twenty-one thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 4133 8266 12399 16532 24798 37197 49596 74394 148788 678901 1357802 2036703 2715604 4073406 6110109 8146812 12220218 24440436 2805897833 5611795666 8417693499 11223591332 16835386998 25253080497 33670773996 50506160994 101012321988