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1010110310013 = 37193782383137
BaseRepresentation
bin11101011001011110100…
…01000010011001111101
310120120021022202101111110
432230233101002121331
5113022201214410023
62052012133312233
7132656321653350
oct16545721023175
93516238671443
101010110310013
1135a426a33502
12143923a95679
1374339a994bc
1436c650c2297
151b41e163a93
hexeb2f44267d

1010110310013 has 64 divisors (see below), whose sum is σ = 1666058915840. Its totient is φ = 531394670592.

The previous prime is 1010110310003. The next prime is 1010110310107. The reversal of 1010110310013 is 3100130110101.

It is not a de Polignac number, because 1010110310013 - 210 = 1010110308989 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010110310003) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12108381 + ... + 12191517.

It is an arithmetic number, because the mean of its divisors is an integer number (26032170560).

Almost surely, 21010110310013 is an apocalyptic number.

It is an amenable number.

1010110310013 is a deficient number, since it is larger than the sum of its proper divisors (655948605827).

1010110310013 is a wasteful number, since it uses less digits than its factorization.

1010110310013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84026.

The product of its (nonzero) digits is 9, while the sum is 12.

Adding to 1010110310013 its reverse (3100130110101), we get a palindrome (4110240420114).

The spelling of 1010110310013 in words is "one trillion, ten billion, one hundred ten million, three hundred ten thousand, thirteen".

Divisors: 1 3 7 19 21 37 57 111 133 259 399 703 777 823 2109 2469 4921 5761 14763 15637 17283 30451 46911 83137 91353 109459 213157 249411 328377 578569 581959 639471 1579603 1735707 1745877 3076069 4049983 4738809 9228207 11057221 12149949 21532483 33171663 58445311 64597449 68421751 175335933 205265253 409117177 478952257 1227351531 1300013269 1436856771 2531604787 3900039807 7594814361 9100092883 17721233509 27300278649 48100490953 53163700527 144301472859 336703436671 1010110310013