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221213101434 = 23137350377237
BaseRepresentation
bin1100111000000101010…
…1000000110101111010
3210010222201110220001220
43032001111000311322
512111021023221214
6245342432252510
721660603223533
oct3160125006572
9703881426056
10221213101434
11858a8035296
1236a579a1136
1317b251276c0
14a9c754768a
155b4a9679a9
hex3381540d7a

221213101434 has 64 divisors (see below), whose sum is σ = 483952299264. Its totient is φ = 66998831616.

The previous prime is 221213101381. The next prime is 221213101457. The reversal of 221213101434 is 434101312122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2825464 + ... + 2902700.

It is an arithmetic number, because the mean of its divisors is an integer number (7561754676).

Almost surely, 2221213101434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221213101434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241976149632).

221213101434 is an abundant number, since it is smaller than the sum of its proper divisors (262739197830).

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

221213101434 is a wasteful number, since it uses less digits than its factorization.

221213101434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77831.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 221213101434 its reverse (434101312122), we get a palindrome (655314413556).

The spelling of 221213101434 in words is "two hundred twenty-one billion, two hundred thirteen million, one hundred one thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 26 39 73 78 146 219 438 503 949 1006 1509 1898 2847 3018 5694 6539 13078 19617 36719 39234 73438 77237 110157 154474 220314 231711 463422 477347 954694 1004081 1432041 2008162 2864082 3012243 5638301 6024486 11276602 16914903 33829806 38850211 73297913 77700422 116550633 146595826 219893739 233101266 439787478 505052743 1010105486 1515158229 2836065403 3030316458 5672130806 8508196209 17016392418 36868850239 73737700478 110606550717 221213101434