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1010131332414 = 231723715744433
BaseRepresentation
bin11101011001100001000…
…01001110110100111110
310120120022210022102210220
432230300201032310332
5113022222110114124
62052014204042210
7132656665441221
oct16546041166476
93516283272726
101010131332414
1135a437891996
1214392ab33366
137434124a0a9
1436c67bd55b8
151b420e17879
hexeb3084ed3e

1010131332414 has 48 divisors (see below), whose sum is σ = 2204094804528. Its totient is φ = 308338956288.

The previous prime is 1010131332391. The next prime is 1010131332433. The reversal of 1010131332414 is 4142331310101.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7808059 + ... + 7936374.

It is an arithmetic number, because the mean of its divisors is an integer number (45918641761).

Almost surely, 21010131332414 is an apocalyptic number.

1010131332414 is an abundant number, since it is smaller than the sum of its proper divisors (1193963472114).

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

1010131332414 is a wasteful number, since it uses less digits than its factorization.

1010131332414 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15744509 (or 15744492 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

Adding to 1010131332414 its reverse (4142331310101), we get a palindrome (5152462642515).

The spelling of 1010131332414 in words is "one trillion, ten billion, one hundred thirty-one million, three hundred thirty-two thousand, four hundred fourteen".

Divisors: 1 2 3 6 17 34 37 51 74 102 111 222 289 578 629 867 1258 1734 1887 3774 10693 21386 32079 64158 15744433 31488866 47233299 94466598 267655361 535310722 582544021 802966083 1165088042 1605932166 1747632063 3495264126 4550141137 9100282274 9903248357 13650423411 19806496714 27300846822 29709745071 59419490142 168355222069 336710444138 505065666207 1010131332414