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1021310021120 = 2954346719867
BaseRepresentation
bin11101101110010101101…
…00100010111000000000
310121122011211222122212112
432313022310202320000
5113213120331133440
62101103334114452
7133534004641334
oct16671264427000
93548154878775
101021310021120
113641539771a4
12145b2a7aba28
13754031a97ac
14376086db7c4
151b877501965
hexedcad22e00

1021310021120 has 160 divisors (see below), whose sum is σ = 2511189952128. Its totient is φ = 398148968448.

The previous prime is 1021310021101. The next prime is 1021310021141. The reversal of 1021310021120 is 211200131201.

It is a tau number, because it is divible by the number of its divisors (160).

It is a junction number, because it is equal to n+sod(n) for n = 1021310021095 and 1021310021104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 51397427 + ... + 51417293.

Almost surely, 21021310021120 is an apocalyptic number.

1021310021120 is a gapful number since it is divisible by the number (10) 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 1021310021120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1255594976064).

1021310021120 is an abundant number, since it is smaller than the sum of its proper divisors (1489879931008).

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

1021310021120 is an equidigital number, since it uses as much as digits as its factorization.

1021310021120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20400 (or 20384 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 14.

Adding to 1021310021120 its reverse (211200131201), we get a palindrome (1232510152321).

The spelling of 1021310021120 in words is "one trillion, twenty-one billion, three hundred ten million, twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 64 80 86 128 160 172 215 256 320 344 430 467 512 640 688 860 934 1280 1376 1720 1868 2335 2560 2752 3440 3736 4670 5504 6880 7472 9340 11008 13760 14944 18680 19867 20081 22016 27520 29888 37360 39734 40162 55040 59776 74720 79468 80324 99335 100405 110080 119552 149440 158936 160648 198670 200810 239104 298880 317872 321296 397340 401620 597760 635744 642592 794680 803240 854281 1195520 1271488 1285184 1589360 1606480 1708562 2542976 2570368 3178720 3212960 3417124 4271405 5085952 5140736 6357440 6425920 6834248 8542810 9277889 10171904 10281472 12714880 12851840 13668496 17085620 18555778 25429760 25703680 27336992 34171240 37111556 46389445 50859520 51407360 54673984 68342480 74223112 92778890 109347968 136684960 148446224 185557780 218695936 273369920 296892448 371115560 398949227 437391872 546739840 593784896 742231120 797898454 1093479680 1187569792 1484462240 1595796908 1994746135 2186959360 2375139584 2968924480 3191593816 3989492270 4750279168 5937848960 6383187632 7978984540 11875697920 12766375264 15957969080 23751395840 25532750528 31915938160 51065501056 63831876320 102131002112 127663752640 204262004224 255327505280 510655010560 1021310021120