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1010097892393 = 47217319713417
BaseRepresentation
bin11101011001011101000…
…01101010110000101001
310120120020110101111201121
432230232201222300221
5113022140030024033
62052011011215241
7132656111264362
oct16545641526051
93516213344647
101010097892393
1135a41aa21a07
1214391b8a7521
137433733c3b5
1436c635acb69
151b41d00e62d
hexeb2e86ac29

1010097892393 has 24 divisors (see below), whose sum is σ = 1043359044552. Its totient is φ = 977829775104.

The previous prime is 1010097892361. The next prime is 1010097892417. The reversal of 1010097892393 is 3932987900101.

1010097892393 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 610840722969 + 399257169424 = 781563^2 + 631868^2 .

It is not a de Polignac number, because 1010097892393 - 25 = 1010097892361 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 1010097892393.

It is not an unprimeable number, because it can be changed into a prime (1010097802393) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 75278221 + ... + 75291637.

It is an arithmetic number, because the mean of its divisors is an integer number (43473293523).

Almost surely, 21010097892393 is an apocalyptic number.

It is an amenable number.

1010097892393 is a deficient number, since it is larger than the sum of its proper divisors (33261152159).

1010097892393 is a wasteful number, since it uses less digits than its factorization.

1010097892393 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13881 (or 13834 counting only the distinct ones).

The product of its (nonzero) digits is 734832, while the sum is 52.

The spelling of 1010097892393 in words is "one trillion, ten billion, ninety-seven million, eight hundred ninety-two thousand, three hundred ninety-three".

Divisors: 1 47 173 197 2209 8131 9259 13417 34081 382157 435173 630599 1601807 2321141 2643149 29638153 75284929 109093627 124228003 457264777 5127400469 5838716141 21491444519 1010097892393