Search a number
-
+
102213013132010 = 2511591011070914561
BaseRepresentation
bin10111001111011001010010…
…010101101101001011101010
3111101220110122121221122221102
4113033121102111231023222
5101344124222330211020
61001220002054241402
730346434515324564
oct2717312225551352
9441813577848842
10102213013132010
112a628328252910
12b569697356262
134505851a184a1
141b351c9b6a334
15bc3bdd3b9475
hex5cf65256d2ea

102213013132010 has 128 divisors (see below), whose sum is σ = 206165347718400. Its totient is φ = 36170767360000.

The previous prime is 102213013132003. The next prime is 102213013132081. The reversal of 102213013132010 is 10231310312201.

It is a happy number.

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, 7019635130 + ... + 7019649690.

It is an arithmetic number, because the mean of its divisors is an integer number (1610666779050).

Almost surely, 2102213013132010 is an apocalyptic number.

102213013132010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102213013132010 is an abundant number, since it is smaller than the sum of its proper divisors (103952334586390).

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

102213013132010 is a wasteful number, since it uses less digits than its factorization.

102213013132010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25448.

The product of its (nonzero) digits is 216, while the sum is 20.

Adding to 102213013132010 its reverse (10231310312201), we get a palindrome (112444323444211).

The spelling of 102213013132010 in words is "one hundred two trillion, two hundred thirteen billion, thirteen million, one hundred thirty-two thousand, ten".

Divisors: 1 2 5 10 11 22 55 59 101 110 118 202 295 505 590 649 1010 1111 1298 2222 3245 5555 5959 6490 10709 11110 11918 14561 21418 29122 29795 53545 59590 65549 72805 107090 117799 131098 145610 160171 235598 320342 327745 588995 631831 655490 800855 859099 1081609 1177990 1263662 1470661 1601710 1718198 2163218 2941322 3159155 4295495 5408045 6318310 6950141 7353305 8590990 9450089 10816090 11897699 13900282 14706610 16177271 18900178 23795398 32354542 34750705 47250445 59488495 63814931 69501410 80886355 86768999 94500890 118976990 127629862 155933749 161772710 173537998 311867498 319074655 433844995 638149310 701964241 779668745 867689990 954458989 1403928482 1559337490 1715271239 1908917978 3430542478 3509821205 4772294945 7019642410 8576356195 9200091191 9544589890 15749308649 17152712390 18400182382 31498617298 46000455955 78746543245 92000911910 101201003101 157493086490 173242395139 202402006202 346484790278 506005015505 866211975695 929209210291 1012010031010 1732423951390 1858418420582 4646046051455 9292092102910 10221301313201 20442602626402 51106506566005 102213013132010