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221211201201000 = 23353233316468099
BaseRepresentation
bin110010010011000010111111…
…000100010110001101101000
31002000020120202221211122022220
4302103002333010112031220
5212443311020001413000
62102251004540514040
764410660532564233
oct6223027704261550
91060216687748286
10221211201201000
116453716412858a
122098826784b920
13965818566caaa
143c8a971c9241a
151a893271951a0
hexc930bf116368

221211201201000 has 128 divisors (see below), whose sum is σ = 693141091344000. Its totient is φ = 58736478988800.

The previous prime is 221211201200999. The next prime is 221211201201043. The reversal of 221211201201000 is 102102112122.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157535050 + ... + 158933049.

It is an arithmetic number, because the mean of its divisors is an integer number (5415164776125).

Almost surely, 2221211201201000 is an apocalyptic number.

221211201201000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

221211201201000 is an abundant number, since it is smaller than the sum of its proper divisors (471929890143000).

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

221211201201000 is a wasteful number, since it uses less digits than its factorization.

221211201201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 316468356 (or 316468342 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 221211201201000 its reverse (102102112122), we get a palindrome (221313303313122).

The spelling of 221211201201000 in words is "two hundred twenty-one trillion, two hundred eleven billion, two hundred one million, two hundred one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 233 250 300 375 466 500 600 699 750 932 1000 1165 1398 1500 1864 2330 2796 3000 3495 4660 5592 5825 6990 9320 11650 13980 17475 23300 27960 29125 34950 46600 58250 69900 87375 116500 139800 174750 233000 349500 699000 316468099 632936198 949404297 1265872396 1582340495 1898808594 2531744792 3164680990 3797617188 4747021485 6329361980 7595234376 7911702475 9494042970 12658723960 15823404950 18988085940 23735107425 31646809900 37976171880 39558512375 47470214850 63293619800 73737067067 79117024750 94940429700 118675537125 147474134134 158234049500 189880859400 221211201201 237351074250 294948268268 316468099000 368685335335 442422402402 474702148500 589896536536 737370670670 884844804804 949404297000 1106056006005 1474741341340 1769689609608 1843426676675 2212112012010 2949482682680 3686853353350 4424224024020 5530280030025 7373706706700 8848448048040 9217133383375 11060560060050 14747413413400 18434266766750 22121120120100 27651400150125 36868533533500 44242240240200 55302800300250 73737067067000 110605600600500 221211201201000