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1020312101016 = 2332131090077031
BaseRepresentation
bin11101101100011110101…
…01110010000010011000
310121112121022020001211200
432312033111302002120
5113204044344213031
62100420325154200
7133500166522305
oct16661725620230
93545538201750
101020312101016
1136379164403a
121458b055b960
13752a451a220
1437551d720ac
151b819ad18e6
hexed8f572098

1020312101016 has 48 divisors (see below), whose sum is σ = 2975910297360. Its totient is φ = 313942184640.

The previous prime is 1020312101009. The next prime is 1020312101027. The reversal of 1020312101016 is 6101012130201.

1020312101016 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 1020312101016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 545037580 + ... + 545039451.

It is an arithmetic number, because the mean of its divisors is an integer number (61998131195).

Almost surely, 21020312101016 is an apocalyptic number.

It is an amenable number.

1020312101016 is an abundant number, since it is smaller than the sum of its proper divisors (1955598196344).

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

1020312101016 is a wasteful number, since it uses less digits than its factorization.

1020312101016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1090077056 (or 1090077049 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 1020312101016 its reverse (6101012130201), we get a palindrome (7121324231217).

The spelling of 1020312101016 in words is "one trillion, twenty billion, three hundred twelve million, one hundred one thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 1090077031 2180154062 3270231093 4360308124 6540462186 8720616248 9810693279 13080924372 14171001403 19621386558 26161848744 28342002806 39242773116 42513004209 56684005612 78485546232 85026008418 113368011224 127539012627 170052016836 255078025254 340104033672 510156050508 1020312101016