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210000102221100 = 223524746132307211
BaseRepresentation
bin101111101111111001110101…
…011111101110010100101100
31000112112210222012012200101110
4233233321311133232110230
5210011120202132033400
62022344414245312020
762143002204564612
oct5757716537562454
91015483865180343
10210000102221100
1160a045a8015614
121b677515405610
139023c03657b59
1439c00b85616b2
1519428b7e74e50
hexbefe757ee52c

210000102221100 has 144 divisors (see below), whose sum is σ = 621874028514816. Its totient is φ = 54689645088000.

The previous prime is 210000102220999. The next prime is 210000102221113. The reversal of 210000102221100 is 1122201000012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9653506 + ... + 22653705.

It is an arithmetic number, because the mean of its divisors is an integer number (4318569642464).

Almost surely, 2210000102221100 is an apocalyptic number.

210000102221100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

210000102221100 is an abundant number, since it is smaller than the sum of its proper divisors (411873926293716).

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

210000102221100 is a wasteful number, since it uses less digits than its factorization.

210000102221100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32307736 (or 32307729 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 210000102221100 its reverse (1122201000012), we get a palindrome (211122303221112).

The spelling of 210000102221100 in words is "two hundred ten trillion, one hundred two million, two hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 47 50 60 75 94 100 141 150 188 235 282 300 461 470 564 705 922 940 1175 1383 1410 1844 2305 2350 2766 2820 3525 4610 4700 5532 6915 7050 9220 11525 13830 14100 21667 23050 27660 34575 43334 46100 65001 69150 86668 108335 130002 138300 216670 260004 325005 433340 541675 650010 1083350 1300020 1625025 2166700 3250050 6500100 32307211 64614422 96921633 129228844 161536055 193843266 323072110 387686532 484608165 646144220 807680275 969216330 1518438917 1615360550 1938432660 2423040825 3036877834 3230721100 4555316751 4846081650 6073755668 7592194585 9110633502 9692163300 14893624271 15184389170 18221267004 22776583755 29787248542 30368778340 37960972925 44680872813 45553167510 59574497084 74468121355 75921945850 89361745626 91106335020 113882918775 148936242710 151843891700 178723491252 223404364065 227765837550 297872485420 372340606775 446808728130 455531675100 700000340737 744681213550 893617456260 1117021820325 1400000681474 1489362427100 2100001022211 2234043640650 2800001362948 3500001703685 4200002044422 4468087281300 7000003407370 8400004088844 10500005111055 14000006814740 17500008518425 21000010222110 35000017036850 42000020444220 52500025555275 70000034073700 105000051110550 210000102221100