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1020315142132 = 2211133838235659
BaseRepresentation
bin11101101100011111000…
…01011000011111110100
310121112121111221120110121
432312033201120133310
5113204101134022012
62100420514301324
7133500234416446
oct16661741303764
93545544846417
101020315142132
11363793330960
121458b1587844
13752a50434c0
1437552524496
151b819ed2a07
hexed8f8587f4

1020315142132 has 96 divisors (see below), whose sum is σ = 2106115522560. Its totient is φ = 426392311680.

The previous prime is 1020315142051. The next prime is 1020315142163. The reversal of 1020315142132 is 2312415130201.

It is a junction number, because it is equal to n+sod(n) for n = 1020315142097 and 1020315142106.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 180296719 + ... + 180302377.

It is an arithmetic number, because the mean of its divisors is an integer number (21938703360).

Almost surely, 21020315142132 is an apocalyptic number.

It is an amenable number.

1020315142132 is an abundant number, since it is smaller than the sum of its proper divisors (1085800380428).

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

1020315142132 is a wasteful number, since it uses less digits than its factorization.

1020315142132 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6893 (or 6891 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 25.

The spelling of 1020315142132 in words is "one trillion, twenty billion, three hundred fifteen million, one hundred forty-two thousand, one hundred thirty-two".

Divisors: 1 2 4 11 13 22 26 44 52 143 286 383 572 766 823 1532 1646 3292 4213 4979 5659 8426 9053 9958 10699 11318 16852 18106 19916 21398 22636 36212 42796 54769 62249 73567 109538 117689 124498 147134 219076 235378 248996 294268 315209 470756 630418 809237 1260836 1618474 2167397 3236948 3467299 4097717 4334794 4657357 6934598 8195434 8669588 9314714 13869196 16390868 18629428 23841367 28176161 45074887 47682734 51230927 56352322 60545641 90149774 95365468 102461854 112704644 121091282 180299548 204923708 242182564 309937771 619875542 666002051 1239751084 1332004102 1783767731 2664008204 3567535462 7135070924 19621445041 23188980503 39242890082 46377961006 78485780164 92755922012 255078785533 510157571066 1020315142132