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22200122220100 = 225211145931382987
BaseRepresentation
bin1010000110000110111100…
…11001100001111001000100
32220121022101200120110120121
411003003132121201321010
510402211322242020400
6115114332332511324
74450622503232536
oct503033631417104
986538350513517
1022200122220100
11708a023267870
1225a664801b544
13c5060228a856
1456a6c5125856
15287721dcb21a
hex1430de661e44

22200122220100 has 72 divisors (see below), whose sum is σ = 52557383174688. Its totient is φ = 8072212684800.

The previous prime is 22200122220079. The next prime is 22200122220109. The reversal of 22200122220100 is 102222100222.

It is not an unprimeable number, because it can be changed into a prime (22200122220109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 15360807 + ... + 16743793.

It is an arithmetic number, because the mean of its divisors is an integer number (729963655204).

Almost surely, 222200122220100 is an apocalyptic number.

22200122220100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22200122220100 is an abundant number, since it is smaller than the sum of its proper divisors (30357260954588).

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

22200122220100 is a wasteful number, since it uses less digits than its factorization.

22200122220100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1397605 (or 1397598 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 22200122220100 its reverse (102222100222), we get a palindrome (22302344320322).

The spelling of 22200122220100 in words is "twenty-two trillion, two hundred billion, one hundred twenty-two million, two hundred twenty thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 220 275 550 1100 14593 29186 58372 72965 145930 160523 291860 321046 364825 642092 729650 802615 1382987 1459300 1605230 2765974 3210460 4013075 5531948 6914935 8026150 13829870 15212857 16052300 27659740 30425714 34574675 60851428 69149350 76064285 138298700 152128570 304257140 380321425 760642850 1521285700 20181929291 40363858582 80727717164 100909646455 201819292910 222001222201 403638585820 444002444402 504548232275 888004888804 1009096464550 1110006111005 2018192929100 2220012222010 4440024444020 5550030555025 11100061110050 22200122220100