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22101971984880 = 2435107860668691
BaseRepresentation
bin1010000011010000001000…
…01100000110000111110000
32220020221001102120220120120
411001220010030012013300
510344104314312004010
6115001301124410240
74440546320056344
oct501500414060760
986227042526516
1022101971984880
117051436a96397
12258b615846980
13c4428ca734a8
14565a53a13624
15284dca279e70
hex141a043061f0

22101971984880 has 80 divisors (see below), whose sum is σ = 69156450739584. Its totient is φ = 5838776392960.

The previous prime is 22101971984879. The next prime is 22101971984927. The reversal of 22101971984880 is 8848917910122.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×221019719848802 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 430308666 + ... + 430360025.

Almost surely, 222101971984880 is an apocalyptic number.

22101971984880 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22101971984880 is an abundant number, since it is smaller than the sum of its proper divisors (47054478754704).

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

22101971984880 is a wasteful number, since it uses less digits than its factorization.

22101971984880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 860668814 (or 860668808 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 60.

The spelling of 22101971984880 in words is "twenty-two trillion, one hundred one billion, nine hundred seventy-one million, nine hundred eighty-four thousand, eight hundred eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 107 120 214 240 321 428 535 642 856 1070 1284 1605 1712 2140 2568 3210 4280 5136 6420 8560 12840 25680 860668691 1721337382 2582006073 3442674764 4303343455 5164012146 6885349528 8606686910 10328024292 12910030365 13770699056 17213373820 20656048584 25820060730 34426747640 41312097168 51640121460 68853495280 92091549937 103280242920 184183099874 206560485840 276274649811 368366199748 460457749685 552549299622 736732399496 920915499370 1105098599244 1381373249055 1473464798992 1841830998740 2210197198488 2762746498110 3683661997480 4420394396976 5525492996220 7367323994960 11050985992440 22101971984880