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21201220221210 = 2325715227634757
BaseRepresentation
bin1001101001000010010110…
…01100110011100100011010
32210001211001111020021110100
410310201023030303210122
510234330044334034320
6113031412304200230
74315511000313111
oct464411314634432
983054044207410
1021201220221210
116834429111407
122464b31909076
13baa360622c13
1453420485ac78
1526b75bc53790
hex13484b33391a

21201220221210 has 96 divisors (see below), whose sum is σ = 55910337754752. Its totient is φ = 5572954558080.

The previous prime is 21201220221191. The next prime is 21201220221221. The reversal of 21201220221210 is 1212202210212.

It is a happy number.

21201220221210 is a `hidden beast` number, since 2 + 1 + 201 + 220 + 221 + 21 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 33083152 + ... + 33717908.

It is an arithmetic number, because the mean of its divisors is an integer number (582399351612).

Almost surely, 221201220221210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21201220221210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27955168877376).

21201220221210 is an abundant number, since it is smaller than the sum of its proper divisors (34709117533542).

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

21201220221210 is a wasteful number, since it uses less digits than its factorization.

21201220221210 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 640068 (or 640065 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 21201220221210 its reverse (1212202210212), we get a palindrome (22413422431422).

The spelling of 21201220221210 in words is "twenty-one trillion, two hundred one billion, two hundred twenty million, two hundred twenty-one thousand, two hundred ten".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 71 90 142 213 355 426 639 710 1065 1278 2130 3195 5227 6390 10454 15681 26135 31362 47043 52270 78405 94086 156810 235215 371117 470430 634757 742234 1113351 1269514 1855585 1904271 2226702 3173785 3340053 3711170 3808542 5566755 5712813 6347570 6680106 9521355 11133510 11425626 16700265 19042710 28564065 33400530 45067747 57128130 90135494 135203241 225338735 270406482 405609723 450677470 676016205 811219446 1352032410 2028048615 3317874839 4056097230 6635749678 9953624517 16589374195 19907249034 29860873551 33178748390 49768122585 59721747102 99536245170 149304367755 235569113569 298608735510 471138227138 706707340707 1177845567845 1413414681414 2120122022121 2355691135690 3533536703535 4240244044242 7067073407070 10600610110605 21201220221210