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221330230110311 = 72237910329382373
BaseRepresentation
bin110010010100110001110101…
…101111100110100001100111
31002000122222000021201201211112
4302110301311233212201213
5213002233302402012221
62102421412023255235
764422403300612400
oct6224616557464147
91060588007651745
10221330230110311
1164582694914913
12209a73462aa51b
1396664745cc68a
143c926242549a7
151a8c491c7a15b
hexc94c75be6867

221330230110311 has 96 divisors (see below), whose sum is σ = 275642962882560. Its totient is φ = 176819113126656.

The previous prime is 221330230110307. The next prime is 221330230110337. The reversal of 221330230110311 is 113011032033122.

It is not a de Polignac number, because 221330230110311 - 22 = 221330230110307 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (23).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221330230110911) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2686885721 + ... + 2686968093.

It is an arithmetic number, because the mean of its divisors is an integer number (2871280863360).

Almost surely, 2221330230110311 is an apocalyptic number.

221330230110311 is a deficient number, since it is larger than the sum of its proper divisors (54312732772249).

221330230110311 is a wasteful number, since it uses less digits than its factorization.

221330230110311 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 82885 (or 82878 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 23.

Adding to 221330230110311 its reverse (113011032033122), we get a palindrome (334341262143433).

The spelling of 221330230110311 in words is "two hundred twenty-one trillion, three hundred thirty billion, two hundred thirty million, one hundred ten thousand, three hundred eleven".

Divisors: 1 7 23 49 79 103 161 293 553 721 1127 1817 2051 2369 3871 5047 6739 8137 12719 14357 16583 23147 30179 47173 56959 82373 89033 116081 162029 187151 211253 330211 398713 532381 576611 694117 1134203 1310057 1478771 1894579 2384141 3726667 4036277 4858819 6507467 8484419 9170399 13262053 16688987 24135289 26086669 34011733 45552269 54835243 59390933 92834371 116822909 149671741 168947023 195141637 318865883 383846701 415736531 555111647 670269101 1047702187 1182629161 1365991459 1906687831 2485934767 2686926907 3885781529 4691883707 7333915309 9561940213 13346814817 15416189323 17401543369 27200470703 32843185949 43853820113 57176499641 93427703719 107913325261 121810803583 196388846593 306976740791 400235497487 755393276827 1374721926151 2148837185537 2801648482409 4516943471639 9623053483057 31618604301473 221330230110311