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221212001210010 = 2351914392017133711
BaseRepresentation
bin110010010011000011101110…
…110000001000111010011010
31002000020122211201012022101020
4302103003232300020322122
5212443314134302210020
62102251220155503310
764411016415546066
oct6223035660107232
91060218751168336
10221212001210010
1164537534775158
122098844b757b36
139658282326ac5
143c8aa0a220aa6
151a8937251ec40
hexc930eec08e9a

221212001210010 has 128 divisors (see below), whose sum is σ = 559521180057600. Its totient is φ = 55818195793920.

The previous prime is 221212001209993. The next prime is 221212001210113. The reversal of 221212001210010 is 10012100212122.

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 63 ways as a sum of consecutive naturals, for example, 1654337055 + ... + 1654470765.

It is an arithmetic number, because the mean of its divisors is an integer number (4371259219200).

Almost surely, 2221212001210010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221212001210010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279760590028800).

221212001210010 is an abundant number, since it is smaller than the sum of its proper divisors (338309178847590).

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

221212001210010 is a wasteful number, since it uses less digits than its factorization.

221212001210010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137196.

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

Adding to 221212001210010 its reverse (10012100212122), we get a palindrome (231224101422132).

The spelling of 221212001210010 in words is "two hundred twenty-one trillion, two hundred twelve billion, one million, two hundred ten thousand, ten".

Divisors: 1 2 3 5 6 10 15 19 30 38 57 95 114 190 285 570 1439 2017 2878 4034 4317 6051 7195 8634 10085 12102 14390 20170 21585 27341 30255 38323 43170 54682 60510 76646 82023 114969 133711 136705 164046 191615 229938 267422 273410 383230 401133 410115 574845 668555 802266 820230 1149690 1337110 2005665 2540509 2902463 4011330 5081018 5804926 7621527 8707389 12702545 14512315 15243054 17414778 25405090 29024630 38107635 43536945 55146797 76215270 87073890 110293594 165440391 192410129 269695087 275733985 330880782 384820258 539390174 551467970 577230387 809085261 827201955 962050645 1154460774 1348475435 1618170522 1654403910 1924101290 2696950870 2886151935 3655792451 4045426305 5124206653 5772303870 7311584902 8090852610 10248413306 10967377353 15372619959 18278962255 21934754706 25621033265 30745239918 36557924510 51242066530 54836886765 76863099795 109673773530 153726199590 388091230193 776182460386 1164273690579 1940456150965 2328547381158 3880912301930 5821368452895 7373733373667 11642736905790 14747466747334 22121200121001 36868666868335 44242400242002 73737333736670 110606000605005 221212001210010