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1021000101220 = 2251117930378537
BaseRepresentation
bin11101101101110000101…
…10010010110101100100
310121121101020211002200201
432312320112102311210
5113212002011214340
62101012503320244
7133523222444641
oct16667026226544
93547336732621
101021000101220
11364004a37850
12145a62a50084
1375383c17738
14375b94a4dc8
151b85a1d379a
hexedb8592d64

1021000101220 has 96 divisors (see below), whose sum is σ = 2353135639680. Its totient is φ = 369033815040.

The previous prime is 1021000101217. The next prime is 1021000101241. The reversal of 1021000101220 is 221010001201.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 1021000101197 and 1021000101206.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 119592792 + ... + 119601328.

It is an arithmetic number, because the mean of its divisors is an integer number (24511829580).

Almost surely, 21021000101220 is an apocalyptic number.

1021000101220 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 1021000101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1176567819840).

1021000101220 is an abundant number, since it is smaller than the sum of its proper divisors (1332135538460).

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

1021000101220 is a wasteful number, since it uses less digits than its factorization.

1021000101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11773 (or 11771 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1021000101220 its reverse (221010001201), we get a palindrome (1242010102421).

The spelling of 1021000101220 in words is "one trillion, twenty-one billion, one hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 179 220 358 716 895 1790 1969 3037 3580 3938 6074 7876 8537 9845 12148 15185 17074 19690 30370 33407 34148 39380 42685 60740 66814 85370 93907 133628 167035 170740 187814 334070 375628 469535 543623 668140 939070 1087246 1528123 1878140 2174492 2718115 3056246 5436230 5979853 6112492 7640615 10872460 11959706 15281230 16809353 23919412 25926869 29899265 30562460 33618706 51853738 59798530 67237412 84046765 103707476 119597060 129634345 168093530 259268690 285195559 336187060 518537380 570391118 1140782236 1425977795 2851955590 4640909551 5703911180 9281819102 18563638204 23204547755 46409095510 51050005061 92818191020 102100010122 204200020244 255250025305 510500050610 1021000101220