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1221220010100 = 2235243152318059
BaseRepresentation
bin10001110001010110011…
…000101000100001110100
311022202011220220022110110
4101301112120220201310
5130002024310310400
62333004251023020
7154141653545466
oct21612630504164
94282156808413
101221220010100
11430a09949822
1217882013aa70
138b2119719bc
144317086c136
1521b77ae5e50
hex11c56628874

1221220010100 has 144 divisors (see below), whose sum is σ = 3548562877440. Its totient is φ = 324263894400.

The previous prime is 1221220010089. The next prime is 1221220010147. The reversal of 1221220010100 is 10100221221.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 67614871 + ... + 67632929.

It is an arithmetic number, because the mean of its divisors is an integer number (24642797760).

Almost surely, 21221220010100 is an apocalyptic number.

1221220010100 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 1221220010100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1774281438720).

1221220010100 is an abundant number, since it is smaller than the sum of its proper divisors (2327342867340).

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

1221220010100 is a wasteful number, since it uses less digits than its factorization.

1221220010100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19030 (or 19023 counting only the distinct ones).

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

Adding to 1221220010100 its reverse (10100221221), we get a palindrome (1231320231321).

The spelling of 1221220010100 in words is "one trillion, two hundred twenty-one billion, two hundred twenty million, ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 431 523 862 1046 1293 1569 1724 2092 2155 2586 2615 3138 4310 5172 5230 6276 6465 7845 8620 10460 10775 12930 13075 15690 18059 21550 25860 26150 31380 32325 36118 39225 43100 52300 54177 64650 72236 78450 90295 108354 129300 156900 180590 216708 225413 270885 361180 450826 451475 541770 676239 901652 902950 1083540 1127065 1352478 1354425 1805900 2254130 2704956 2708850 3381195 4508260 5417700 5635325 6762390 7783429 9444857 11270650 13524780 15566858 16905975 18889714 22541300 23350287 28334571 31133716 33811950 37779428 38917145 46700574 47224285 56669142 67623900 77834290 93401148 94448570 113338284 116751435 141672855 155668580 188897140 194585725 233502870 236121425 283345710 389171450 467005740 472242850 566691420 583757175 708364275 778342900 944485700 1167514350 1416728550 2335028700 2833457100 4070733367 8141466734 12212200101 16282933468 20353666835 24424400202 40707333670 48848800404 61061000505 81414667340 101768334175 122122001010 203536668350 244244002020 305305002525 407073336700 610610005050 1221220010100