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101021210022012 = 22372712419785619
BaseRepresentation
bin10110111110000011010101…
…010101101001000001111100
3111020200112101211010201011120
4112332003111111221001330
5101220112414231201022
6554504300405350540
730164353521124200
oct2676032525510174
9436615354121146
10101021210022012
112a208944492585
12b3b6706a08450
13444a34a6ac467
141ad364a11cb00
15ba2bd811bd5c
hex5be0d556907c

101021210022012 has 72 divisors (see below), whose sum is σ = 278062405165440. Its totient is φ = 28456678867680.

The previous prime is 101021210021999. The next prime is 101021210022023. The reversal of 101021210022012 is 210220012120101.

It is a super-2 number, since 2×1010212100220122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 101021210021982 and 101021210022000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1209851062 + ... + 1209934557.

It is an arithmetic number, because the mean of its divisors is an integer number (3861977849520).

Almost surely, 2101021210022012 is an apocalyptic number.

101021210022012 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

101021210022012 is an abundant number, since it is smaller than the sum of its proper divisors (177041195143428).

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

101021210022012 is a wasteful number, since it uses less digits than its factorization.

101021210022012 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2419785711 (or 2419785702 counting only the distinct ones).

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

Adding to 101021210022012 its reverse (210220012120101), we get a palindrome (311241222142113).

The spelling of 101021210022012 in words is "one hundred one trillion, twenty-one billion, two hundred ten million, twenty-two thousand, twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 71 84 98 142 147 196 213 284 294 426 497 588 852 994 1491 1988 2982 3479 5964 6958 10437 13916 20874 41748 2419785619 4839571238 7259356857 9679142476 14518713714 16938499333 29037427428 33876998666 50815497999 67753997332 101630995998 118569495331 171804778949 203261991996 237138990662 343609557898 355708485993 474277981324 515414336847 687219115796 711416971986 1030828673694 1202633452643 1422833943972 2061657347388 2405266905286 3607900357929 4810533810572 7215800715858 8418434168501 14431601431716 16836868337002 25255302505503 33673736674004 50510605011006 101021210022012