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21121110199488 = 2631329327288539
BaseRepresentation
bin1001100110101101001000…
…10001010100110011000000
32202210011021111002112000210
410303112210101110303000
510232022013202340423
6112530523140314120
74306643541336345
oct463264421246300
982704244075023
1021121110199488
11680345a099392
1224514b50a2940
13ba2934778bc0
145303a52427cc
1526961dca0b93
hex1335a4454cc0

21121110199488 has 112 divisors (see below), whose sum is σ = 60183885565440. Its totient is φ = 6498559017984.

The previous prime is 21121110199457. The next prime is 21121110199489. The reversal of 21121110199488 is 88499101112112.

It is a happy number.

It is a super-2 number, since 2×211211101994882 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (21121110199489) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73055923 + ... + 73344461.

It is an arithmetic number, because the mean of its divisors is an integer number (537356121120).

Almost surely, 221121110199488 is an apocalyptic number.

It is an amenable number.

21121110199488 is an abundant number, since it is smaller than the sum of its proper divisors (39062775365952).

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

21121110199488 is a wasteful number, since it uses less digits than its factorization.

21121110199488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317894 (or 317884 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 48.

The spelling of 21121110199488 in words is "twenty-one trillion, one hundred twenty-one billion, one hundred ten million, one hundred ninety-nine thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 156 192 208 312 416 624 832 1248 2496 29327 58654 87981 117308 175962 234616 288539 351924 381251 469232 577078 703848 762502 865617 938464 1143753 1154156 1407696 1525004 1731234 1876928 2287506 2308312 2815392 3050008 3462468 3751007 4575012 4616624 5630784 6100016 6924936 7502014 9150024 9233248 11253021 12200032 13849872 15004028 18300048 18466496 22506042 24400064 27699744 30008056 36600096 45012084 55399488 60016112 73200192 90024168 120032224 180048336 240064448 360096672 720193344 8461983253 16923966506 25385949759 33847933012 50771899518 67695866024 101543799036 110005782289 135391732048 203087598072 220011564578 270783464096 330017346867 406175196144 440023129156 541566928192 660034693734 812350392288 880046258312 1320069387468 1624700784576 1760092516624 2640138774936 3520185033248 5280277549872 7040370066496 10560555099744 21121110199488