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221431473676322 = 271341331148960209
BaseRepresentation
bin110010010110010000001000…
…010101001010000000100010
31002001000122100010100202221122
4302112100020111022000202
5213010413124230120242
62102540114212252242
764432616224665650
oct6226201025120042
91061018303322848
10221431473676322
1164611619202518
1220a02aa0611082
139672b8a9482a0
143c974aa505dd0
151a8ee1a258ad2
hexc9640854a022

221431473676322 has 128 divisors (see below), whose sum is σ = 420321443673600. Its totient is φ = 85145864601600.

The previous prime is 221431473676307. The next prime is 221431473676327. The reversal of 221431473676322 is 223676374134122.

It is not an unprimeable number, because it can be changed into a prime (221431473676327) 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, 3677683754 + ... + 3677743962.

It is an arithmetic number, because the mean of its divisors is an integer number (3283761278700).

Almost surely, 2221431473676322 is an apocalyptic number.

221431473676322 is a deficient number, since it is larger than the sum of its proper divisors (198889969997278).

221431473676322 is a wasteful number, since it uses less digits than its factorization.

221431473676322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62092.

The product of its digits is 12192768, while the sum is 53.

The spelling of 221431473676322 in words is "two hundred twenty-one trillion, four hundred thirty-one billion, four hundred seventy-three million, six hundred seventy-six thousand, three hundred twenty-two".

Divisors: 1 2 7 13 14 26 41 82 91 182 287 331 533 574 662 1066 1489 2317 2978 3731 4303 4634 7462 8606 10423 13571 19357 20846 27142 30121 38714 60209 60242 61049 94997 120418 122098 135499 176423 189994 270998 352846 421463 427343 492859 782717 793637 842926 854686 985718 1234961 1565434 1587274 2468569 2469922 3450013 4937138 5479019 5555459 6407167 6900026 10958038 11110918 12814334 17279983 19929179 20207219 32091397 34559966 39858358 40414438 44850169 64182794 89651201 89700338 139504253 141450533 179302402 224639779 259079327 262693847 279008506 282901066 449279558 518158654 525387694 627558407 817096339 1165465613 1255116814 1634192678 1813555289 1838856929 2330931226 3627110578 3675699241 3677713858 5719674373 7351398482 8158259291 10622252407 11439348746 16316518582 21244504814 25729894687 29674547531 47784090133 51459789374 59349095062 74355766849 95568180266 148711533698 207721832717 334488630931 385769117903 415443665434 668977261862 771538235806 1216656448771 2433312897542 2700383825321 5400767650642 8516595141397 15816533834023 17033190282794 31633067668046 110715736838161 221431473676322