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21012221199978 = 2338338916637247
BaseRepresentation
bin1001100011100010010011…
…11110110000011001101010
32202101202012211020012211000
410301301021332300121222
510223231012111344403
6112404514155215430
74266040300166361
oct461611176603152
982352184205730
1021012221199978
1167712620973a8
122434386447576
13b955a04b1a48
14528dd58227d8
152668994b37a3
hex131c49fb066a

21012221199978 has 128 divisors (see below), whose sum is σ = 47412913766400. Its totient is φ = 6896796826176.

The previous prime is 21012221199941. The next prime is 21012221199979. The reversal of 21012221199978 is 87999112221012.

It is a happy number.

21012221199978 is a `hidden beast` number, since 210 + 1 + 222 + 119 + 9 + 97 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (21012221199979) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2899433551 + ... + 2899440797.

It is an arithmetic number, because the mean of its divisors is an integer number (370413388800).

Almost surely, 221012221199978 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21012221199978, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23706456883200).

21012221199978 is an abundant number, since it is smaller than the sum of its proper divisors (26400692566422).

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

21012221199978 is a wasteful number, since it uses less digits than its factorization.

21012221199978 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9393 (or 9387 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 54.

The spelling of 21012221199978 in words is "twenty-one trillion, twelve billion, two hundred twenty-one million, one hundred ninety-nine thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 83 166 249 389 498 747 778 1167 1494 1663 2241 2334 3326 3501 4482 4989 7002 7247 9978 10503 14494 14967 21006 21741 29934 32287 43482 44901 64574 65223 89802 96861 130446 138029 193722 195669 276058 290583 391338 414087 581166 601501 646907 828174 871749 1203002 1242261 1293814 1743498 1804503 1940721 2484522 2819083 3609006 3726783 3881442 5413509 5638166 5822163 7453566 8457249 10827018 11644326 12051761 16240527 16914498 17466489 24103522 25371747 32481054 34932978 36155283 50743494 53693281 72310566 76115241 107386562 108465849 152230482 161079843 216931698 233983889 322159686 325397547 467967778 483239529 650795094 701951667 966479058 1000296163 1403903334 1449718587 2000592326 2105855001 2899437174 3000888489 4211710002 4688135029 6001776978 6317565003 9002665467 9376270058 12635130006 14064405087 18005330934 27007996401 28128810174 42193215261 54015992802 84386430522 126579645783 253159291566 389115207407 778230414814 1167345622221 2334691244442 3502036866663 7004073733326 10506110599989 21012221199978