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1221220022100 = 22352132313614493
BaseRepresentation
bin10001110001010110011…
…000101011011101010100
311022202011220220220220220
4101301112120223131110
5130002024311201400
62333004251154340
7154141653625461
oct21612630533524
94282156826826
101221220022100
11430a09957841
121788201459b0
138b2119772c0
1443170872668
1521b77ae97a0
hex11c5662b754

1221220022100 has 144 divisors (see below), whose sum is σ = 3970639946112. Its totient is φ = 287538071040.

The previous prime is 1221220022083. The next prime is 1221220022101. The reversal of 1221220022100 is 12200221221.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1221220022100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1221220022101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6717547 + ... + 6896946.

Almost surely, 21221220022100 is an apocalyptic number.

1221220022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1221220022100 is an abundant number, since it is smaller than the sum of its proper divisors (2749419924012).

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

1221220022100 is a wasteful number, since it uses less digits than its factorization.

1221220022100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13614546 (or 13614539 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 1221220022100 its reverse (12200221221), we get a palindrome (1233420243321).

The spelling of 1221220022100 in words is "one trillion, two hundred twenty-one billion, two hundred twenty million, twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 23 25 26 30 39 46 50 52 60 65 69 75 78 92 100 115 130 138 150 156 195 230 260 276 299 300 325 345 390 460 575 598 650 690 780 897 975 1150 1196 1300 1380 1495 1725 1794 1950 2300 2990 3450 3588 3900 4485 5980 6900 7475 8970 14950 17940 22425 29900 44850 89700 13614493 27228986 40843479 54457972 68072465 81686958 136144930 163373916 176988409 204217395 272289860 313133339 340362325 353976818 408434790 530965227 626266678 680724650 707953636 816869580 884942045 939400017 1021086975 1061930454 1252533356 1361449300 1565666695 1769884090 1878800034 2042173950 2123860908 2654826135 3131333390 3539768180 3757600068 4070733407 4084347900 4424710225 4697000085 5309652270 6262666780 7828333475 8141466814 8849420450 9394000170 10619304540 12212200221 13274130675 15656666950 16282933628 17698840900 18788000340 20353667035 23485000425 24424400442 26548261350 31313333900 40707334070 46970000850 48848800884 53096522700 61061001105 81414668140 93940001700 101768335175 122122002210 203536670350 244244004420 305305005525 407073340700 610610011050 1221220022100