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101020220200212 = 223193167139212881
BaseRepresentation
bin10110111110000010011010…
…010101110001010100010100
3111020200102211211121112220220
4112332002122111301110110
5101220103402332401322
6554504014250154340
730164320141564305
oct2676023225612424
9436612754545826
10101020220200212
112a208486790835
12b3b648b4229b0
13444a2205c6ca1
141ad35948a07ac
15ba2b7b29b55c
hex5be09a571514

101020220200212 has 96 divisors (see below), whose sum is σ = 256128722841600. Its totient is φ = 30871448870400.

The previous prime is 101020220200187. The next prime is 101020220200213. The reversal of 101020220200212 is 212002022020101.

It is a super-2 number, since 2×1010202202002122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101020220200191 and 101020220200200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101020220200213) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 474432012 + ... + 474644892.

It is an arithmetic number, because the mean of its divisors is an integer number (2668007529600).

Almost surely, 2101020220200212 is an apocalyptic number.

101020220200212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101020220200212 is an abundant number, since it is smaller than the sum of its proper divisors (155108502641388).

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

101020220200212 is a wasteful number, since it uses less digits than its factorization.

101020220200212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280077 (or 280075 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 101020220200212 its reverse (212002022020101), we get a palindrome (313022242220313).

The spelling of 101020220200212 in words is "one hundred one trillion, twenty billion, two hundred twenty million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 19 31 38 57 62 76 93 114 124 186 228 372 589 1178 1767 2356 3534 7068 67139 134278 201417 212881 268556 402834 425762 638643 805668 851524 1275641 1277286 2081309 2551282 2554572 3826923 4044739 4162618 5102564 6243927 6599311 7653846 8089478 8325236 12134217 12487854 13198622 15307692 16178956 19797933 24268434 24975708 26397244 39544871 39595866 48536868 79089742 79191732 118634613 125386909 158179484 237269226 250773818 376160727 474538452 501547636 752321454 1504642908 14292617459 28585234918 42877852377 57170469836 85755704754 171511409508 271559731721 443071141229 543119463442 814679195163 886142282458 1086238926884 1329213423687 1629358390326 1772284564916 2658426847374 3258716780652 5316853694748 8418351683351 16836703366702 25255055050053 33673406733404 50510110100106 101020220200212