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1222133000100 = 2235214973936997
BaseRepresentation
bin10001110010001100110…
…011011010011110100100
311022211112112212000021220
4101302030303122132210
5130010412022000400
62333235023340340
7154203411046065
oct21621463323644
94284475760256
101222133000100
11431338243711
12178a35a516b0
138b328b65b7c
1443219c0a56c
1521bccd3b7a0
hex11c8ccda7a4

1222133000100 has 144 divisors (see below), whose sum is σ = 3564683304000. Its totient is φ = 323268088320.

The previous prime is 1222133000071. The next prime is 1222133000117. The reversal of 1222133000100 is 10003312221.

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 1222133000100.

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, 33014802 + ... + 33051798.

Almost surely, 21222133000100 is an apocalyptic number.

1222133000100 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 1222133000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1782341652000).

1222133000100 is an abundant number, since it is smaller than the sum of its proper divisors (2342550303900).

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

1222133000100 is a wasteful number, since it uses less digits than its factorization.

1222133000100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37902 (or 37895 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 1222133000100 its reverse (10003312221), we get a palindrome (1232136312321).

The spelling of 1222133000100 in words is "one trillion, two hundred twenty-two billion, one hundred thirty-three million, one hundred", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 149 150 298 300 447 596 739 745 894 1478 1490 1788 2217 2235 2956 2980 3695 3725 4434 4470 7390 7450 8868 8940 11085 11175 14780 14900 18475 22170 22350 36950 36997 44340 44700 55425 73900 73994 110111 110850 110991 147988 184985 220222 221700 221982 330333 369970 440444 443964 550555 554955 660666 739940 924925 1101110 1109910 1321332 1651665 1849850 2202220 2219820 2752775 2774775 3303330 3699700 5505550 5512553 5549550 6606660 8258325 11011100 11025106 11099100 16516650 16537659 22050212 27340783 27562765 33033300 33075318 54681566 55125530 66150636 82022349 82688295 109363132 110251060 136703915 137813825 164044698 165376590 273407830 275627650 328089396 330753180 410111745 413441475 546815660 551255300 683519575 820223490 826882950 1367039150 1640446980 1653765900 2050558725 2734078300 4073776667 4101117450 8147553334 8202234900 12221330001 16295106668 20368883335 24442660002 40737766670 48885320004 61106650005 81475533340 101844416675 122213300010 203688833350 244426600020 305533250025 407377666700 611066500050 1222133000100