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221221121012202 = 233137317166960757
BaseRepresentation
bin110010010011001100001110…
…010101011011000111101010
31002000021112101021201021002210
4302103030032111123013222
5212443441323434342302
62102255325140505550
764411461414565503
oct6223141625330752
91060245337637083
10221221121012202
1164540394652563
122098a1759ab2b6
1396590a6861c6c
143c8b2334ddbaa
151a89707eb366c
hexc9330e55b1ea

221221121012202 has 128 divisors (see below), whose sum is σ = 470827565660160. Its totient is φ = 69171318420480.

The previous prime is 221221121012183. The next prime is 221221121012251. The reversal of 221221121012202 is 202210121122122.

221221121012202 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3641050008 + ... + 3641110764.

It is an arithmetic number, because the mean of its divisors is an integer number (3678340356720).

Almost surely, 2221221121012202 is an apocalyptic number.

221221121012202 is an abundant number, since it is smaller than the sum of its proper divisors (249606444647958).

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

221221121012202 is a wasteful number, since it uses less digits than its factorization.

221221121012202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62816.

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 221221121012202 its reverse (202210121122122), we get a palindrome (423431242134324).

The spelling of 221221121012202 in words is "two hundred twenty-one trillion, two hundred twenty-one billion, one hundred twenty-one million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 31 37 62 74 93 111 186 222 317 634 951 1147 1669 1902 2294 3338 3441 5007 6882 9827 10014 11729 19654 23458 29481 35187 51739 58962 60757 61753 70374 103478 121514 123506 155217 182271 185259 310434 363599 364542 370518 529073 727198 1058146 1090797 1587219 1883467 1914343 2181594 2248009 3174438 3766934 3828686 4496018 5650401 5743029 6744027 11300802 11486058 13488054 16401263 19259969 19575701 32802526 38519938 39151402 49203789 57779907 58727103 69688279 98407578 101403433 115559814 117454206 139376558 202806866 209064837 304210299 418129674 597059039 606846731 608420598 712618853 1194118078 1213693462 1425237706 1791177117 1820540193 2137856559 3143506423 3582354234 3641080386 3751927021 4275713118 6287012846 7503854042 9430519269 11255781063 18861038538 22091184443 22511562126 32144888261 44182368886 64289776522 66273553329 96434664783 116309737651 132547106658 192869329566 232619475302 348929212953 697858425906 996491536091 1189360865657 1992983072182 2378721731314 2989474608273 3568082596971 5978949216546 7136165193942 36870186835367 73740373670734 110610560506101 221221121012202