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10311522140 = 2254130740961
BaseRepresentation
bin10011001101001110…
…10101011101011100
3222121121221121011102
421212213111131130
5132104222202030
64423111412232
7513346330523
oct114647253534
928547847142
1010311522140
114411649227
121bb9384078
13c843c08ba
146db6954ba
154053e5c45
hex2669d575c

10311522140 has 48 divisors (see below), whose sum is σ = 22255146144. Its totient is φ = 4010803200.

The previous prime is 10311522107. The next prime is 10311522209. The reversal of 10311522140 is 4122511301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 231260 + ... + 272220.

It is an arithmetic number, because the mean of its divisors is an integer number (463648878).

Almost surely, 210311522140 is an apocalyptic number.

10311522140 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 10311522140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11127573072).

10311522140 is an abundant number, since it is smaller than the sum of its proper divisors (11943624004).

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

10311522140 is a wasteful number, since it uses less digits than its factorization.

10311522140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41318 (or 41316 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

The spelling of 10311522140 in words is "ten billion, three hundred eleven million, five hundred twenty-two thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 82 164 205 307 410 614 820 1228 1535 3070 6140 12587 25174 40961 50348 62935 81922 125870 163844 204805 251740 409610 819220 1679401 3358802 6717604 8397005 12575027 16794010 25150054 33588020 50300108 62875135 125750270 251500540 515576107 1031152214 2062304428 2577880535 5155761070 10311522140