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221021100020120 = 23567711161557179
BaseRepresentation
bin110010010000010001111100…
…001001111001000110011000
31001222120102002110221001212212
4302100101330021321012120
5212432202203101120440
62102023405220454252
764361150620321211
oct6220217411710630
91058512073831785
10221021100020120
1164473581a53734
122095745324a388
13964327b0a2c4a
143c8169a716408
151a843ecc94465
hexc9047c279198

221021100020120 has 64 divisors (see below), whose sum is σ = 511828555795200. Its totient is φ = 85862306597760.

The previous prime is 221021100020087. The next prime is 221021100020143. The reversal of 221021100020120 is 21020001120122.

It is a junction number, because it is equal to n+sod(n) for n = 221021100020095 and 221021100020104.

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, 580588310 + ... + 580968869.

It is an arithmetic number, because the mean of its divisors is an integer number (7997321184300).

Almost surely, 2221021100020120 is an apocalyptic number.

221021100020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221021100020120 is an abundant number, since it is smaller than the sum of its proper divisors (290807455775080).

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

221021100020120 is a wasteful number, since it uses less digits than its factorization.

221021100020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1161557328 (or 1161557324 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 221021100020120 its reverse (21020001120122), we get a palindrome (242041101140242).

The spelling of 221021100020120 in words is "two hundred twenty-one trillion, twenty-one billion, one hundred million, twenty thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 67 71 134 142 268 284 335 355 536 568 670 710 1340 1420 2680 2840 4757 9514 19028 23785 38056 47570 95140 190280 1161557179 2323114358 4646228716 5807785895 9292457432 11615571790 23231143580 46462287160 77824330993 82470559709 155648661986 164941119418 311297323972 329882238836 389121654965 412352798545 622594647944 659764477672 778243309930 824705597090 1556486619860 1649411194180 3112973239720 3298822388360 5525527500503 11051055001006 22102110002012 27627637502515 44204220004024 55255275005030 110510550010060 221021100020120