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10021220000120 = 235731264157781
BaseRepresentation
bin1001000111010011111101…
…0000100010000101111000
31022111000112001101221121202
42101310333100202011320
52303141424310000440
633151403535153332
72053003113356000
oct221647720420570
938430461357552
1010021220000120
113213a8048a1aa
12115a21a375848
13578cc650ab04
1426905b46d000
15125a1cd4a615
hex91d3f422178

10021220000120 has 128 divisors (see below), whose sum is σ = 26297281584000. Its totient is φ = 3435515596800.

The previous prime is 10021220000093. The next prime is 10021220000147. The reversal of 10021220000120 is 2100002212001.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (10021220000093) and next prime (10021220000147).

It is a congruent number.

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, 173405630 + ... + 173463410.

It is an arithmetic number, because the mean of its divisors is an integer number (205447512375).

Almost surely, 210021220000120 is an apocalyptic number.

10021220000120 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 10021220000120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13148640792000).

10021220000120 is an abundant number, since it is smaller than the sum of its proper divisors (16276061583880).

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

10021220000120 is a wasteful number, since it uses less digits than its factorization.

10021220000120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70454 (or 70436 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 10021220000120 its reverse (2100002212001), we get a palindrome (12121222212121).

The spelling of 10021220000120 in words is "ten trillion, twenty-one billion, two hundred twenty million, one hundred twenty", and thus it is an aban number.

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 49 56 70 98 140 196 245 280 343 392 490 686 980 1372 1715 1960 2744 3430 6860 12641 13720 25282 50564 57781 63205 88487 101128 115562 126410 176974 231124 252820 288905 353948 404467 442435 462248 505640 577810 619409 707896 808934 884870 1155620 1238818 1617868 1769740 2022335 2311240 2477636 2831269 3097045 3235736 3539480 4044670 4335863 4955272 5662538 6194090 8089340 8671726 11325076 12388180 14156345 16178680 17343452 19818883 21679315 22650152 24776360 28312690 34686904 39637766 43358630 56625380 79275532 86717260 99094415 113250760 158551064 173434520 198188830 396377660 730409621 792755320 1460819242 2921638484 3652048105 5112867347 5843276968 7304096210 10225734694 14608192420 20451469388 25564336735 29216384840 35790071429 40902938776 51128673470 71580142858 102257346940 143160285716 178950357145 204514693880 250530500003 286320571432 357900714290 501061000006 715801428580 1002122000012 1252652500015 1431602857160 2004244000024 2505305000030 5010610000060 10021220000120