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1020103231210 = 257229193371957
BaseRepresentation
bin11101101100000101110…
…01000000011011101010
310121112001202012101022221
432312002321000123222
5113203132411344320
62100343504304254
7133462052253400
oct16660271003352
93545052171287
101020103231210
11363694753068
1214585261208a
137527017891b
1437532321470
151b8065c43aa
hexed82e406ea

1020103231210 has 96 divisors (see below), whose sum is σ = 2221080244560. Its totient is φ = 335938756608.

The previous prime is 1020103231201. The next prime is 1020103231241. The reversal of 1020103231210 is 121323010201.

It can be written as a sum of positive squares in 8 ways, for example, as 426567040641 + 593536190569 = 653121^2 + 770413^2 .

It is a super-2 number, since 2×10201032312102 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2556552 + ... + 2928508.

Almost surely, 21020103231210 is an apocalyptic number.

1020103231210 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1020103231210 is an abundant number, since it is smaller than the sum of its proper divisors (1200977013350).

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

1020103231210 is a wasteful number, since it uses less digits than its factorization.

1020103231210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 372200 (or 372193 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 1020103231210 its reverse (121323010201), we get a palindrome (1141426241411).

The spelling of 1020103231210 in words is "one trillion, twenty billion, one hundred three million, two hundred thirty-one thousand, two hundred ten".

Divisors: 1 2 5 7 10 14 29 35 49 58 70 98 145 193 203 245 290 386 406 490 965 1015 1351 1421 1930 2030 2702 2842 5597 6755 7105 9457 11194 13510 14210 18914 27985 39179 47285 55970 78358 94570 195895 274253 371957 391790 548506 743914 1371265 1859785 2603699 2742530 3719570 5207398 10786753 13018495 18225893 21573506 26036990 36451786 53933765 71787701 75507271 91129465 107867530 143575402 151014542 182258930 358938505 377536355 502513907 528550897 717877010 755072710 1005027814 1057101794 2081843329 2512569535 2642754485 3517597349 4163686658 5025139070 5285508970 7035194698 10409216645 14572903303 17587986745 20818433290 29145806606 35175973490 72864516515 102010323121 145729033030 204020646242 510051615605 1020103231210