Search a number
-
+
101001112210220 = 22547389886731151
BaseRepresentation
bin10110111101110000100111…
…011010100100101100101100
3111020121121112011120002100212
4112331300213122210230230
5101214300234211211340
6554451134223441552
730163042500420545
oct2675604732445454
9436547464502325
10101001112210220
112a200370827072
12b3b28381562b8
134448496979031
141ad26a0c554cc
15ba240d9cea65
hex5bdc276a4b2c

101001112210220 has 96 divisors (see below), whose sum is σ = 217203467120640. Its totient is φ = 39433499705600.

The previous prime is 101001112210183. The next prime is 101001112210241. The reversal of 101001112210220 is 22012211100101.

It is a junction number, because it is equal to n+sod(n) for n = 101001112210195 and 101001112210204.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3242291645 + ... + 3242322795.

It is an arithmetic number, because the mean of its divisors is an integer number (2262536115840).

Almost surely, 2101001112210220 is an apocalyptic number.

101001112210220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001112210220 is an abundant number, since it is smaller than the sum of its proper divisors (116202354910420).

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

101001112210220 is a wasteful number, since it uses less digits than its factorization.

101001112210220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40463 (or 40461 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 101001112210220 its reverse (22012211100101), we get a palindrome (123013323310321).

The spelling of 101001112210220 in words is "one hundred one trillion, one billion, one hundred twelve million, two hundred ten thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 47 94 188 235 389 470 778 940 1556 1945 3890 7780 8867 17734 18283 31151 35468 36566 44335 62302 73132 88670 91415 124604 155755 177340 182830 311510 365660 416749 623020 833498 1464097 1666996 2083745 2928194 3449263 4167490 5856388 6898526 7320485 8334980 12117739 13797052 14640970 17246315 24235478 29281940 34492630 48470956 60588695 68985260 121177390 162115361 242354780 276215917 324230722 552431834 569533733 648461444 810576805 1104863668 1139067466 1381079585 1621153610 2278134932 2762159170 2847668665 3242307220 5524318340 5695337330 11390674660 12982148099 25964296198 51928592396 64910740495 107447991713 129821480990 214895983426 259642961980 429791966852 537239958565 1074479917130 2148959834260 5050055610511 10100111221022 20200222442044 25250278052555 50500556105110 101001112210220