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1020203213232 = 243731817111987
BaseRepresentation
bin11101101100010001101…
…10011010000110110000
310121112022201022222212210
432312020312122012300
5113203334010310412
62100401435252120
7133464405142230
oct16661066320660
93545281288783
101020203213232
11363736132035
1214587bbaa040
1375287ab4198
1437541709cc0
151b81027383c
hexed88d9a1b0

1020203213232 has 160 divisors (see below), whose sum is σ = 3109830672384. Its totient is φ = 282025785600.

The previous prime is 1020203213231. The next prime is 1020203213279. The reversal of 1020203213232 is 2323123020201.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a junction number, because it is equal to n+sod(n) for n = 1020203213199 and 1020203213208.

It is not an unprimeable number, because it can be changed into a prime (1020203213231) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 85103143 + ... + 85115129.

Almost surely, 21020203213232 is an apocalyptic number.

1020203213232 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1020203213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554915336192).

1020203213232 is an abundant number, since it is smaller than the sum of its proper divisors (2089627459152).

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

1020203213232 is a wasteful number, since it uses less digits than its factorization.

1020203213232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20207 (or 20201 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 1020203213232 its reverse (2323123020201), we get a palindrome (3343326233433).

The spelling of 1020203213232 in words is "one trillion, twenty billion, two hundred three million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 42 48 56 62 84 93 112 124 168 186 217 248 336 372 434 496 651 744 868 1302 1488 1736 2604 3472 5208 8171 10416 11987 16342 23974 24513 32684 35961 47948 49026 57197 65368 71922 83909 95896 98052 114394 130736 143844 167818 171591 191792 196104 228788 251727 253301 287688 335636 343182 371597 392208 457576 503454 506602 575376 671272 686364 743194 759903 915152 1006908 1013204 1114791 1342544 1372728 1486388 1519806 1773107 2013816 2026408 2229582 2601179 2745456 2972776 3039612 3546214 4027632 4052816 4459164 5202358 5319321 5945552 6079224 7092428 7803537 8918328 10404716 10638642 12158448 14184856 15607074 17836656 20809432 21277284 28369712 31214148 41618864 42554568 62428296 85109136 97945777 124856592 195891554 293837331 391783108 587674662 685620439 783566216 1175349324 1371240878 1567132432 2056861317 2350698648 2742481756 3036319087 4113722634 4701397296 5484963512 6072638174 8227445268 9108957261 10969927024 12145276348 16454890536 18217914522 21254233609 24290552696 32909781072 36435829044 42508467218 48581105392 63762700827 72871658088 85016934436 127525401654 145743316176 170033868872 255050803308 340067737744 510101606616 1020203213232