Search a number
-
+
101022000221120 = 26511266471077023
BaseRepresentation
bin10110111110000100000100…
…011100000000101111000000
3111020200121102220000222120012
4112332010010130000233000
5101220121024024033440
6554504511034204052
730164412224530526
oct2676040434005700
9436617386028505
10101022000221120
112a20920a5398a0
12b3b68a7583628
13444a4453102b4
141ad36c3056316
15ba2c326a9e65
hex5be104700bc0

101022000221120 has 112 divisors (see below), whose sum is σ = 262437697087488. Its totient is φ = 36733860111360.

The previous prime is 101022000221119. The next prime is 101022000221227. The reversal of 101022000221120 is 21122000220101.

It is a junction number, because it is equal to n+sod(n) for n = 101022000221095 and 101022000221104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93258929 + ... + 94335951.

Almost surely, 2101022000221120 is an apocalyptic number.

101022000221120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101022000221120 is an abundant number, since it is smaller than the sum of its proper divisors (161415696866368).

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

101022000221120 is a wasteful number, since it uses less digits than its factorization.

101022000221120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1103698 (or 1103688 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 101022000221120 its reverse (21122000220101), we get a palindrome (122144000441221).

The spelling of 101022000221120 in words is "one hundred one trillion, twenty-two billion, two hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 160 176 220 320 352 440 704 880 1760 3520 26647 53294 106588 133235 213176 266470 293117 426352 532940 586234 852704 1065880 1077023 1172468 1465585 1705408 2131760 2154046 2344936 2931170 4263520 4308092 4689872 5385115 5862340 8527040 8616184 9379744 10770230 11724680 11847253 17232368 18759488 21540460 23449360 23694506 34464736 43080920 46898720 47389012 59236265 68929472 86161840 93797440 94778024 118472530 172323680 189556048 236945060 344647360 379112096 473890120 758224192 947780240 1895560480 3791120960 28699431881 57398863762 114797727524 143497159405 229595455048 286994318810 315693750691 459190910096 573988637620 631387501382 918381820192 1147977275240 1262775002764 1578468753455 1836763640384 2295954550480 2525550005528 3156937506910 4591909100960 5051100011056 6313875013820 9183818201920 10102200022112 12627750027640 20204400044224 25255500055280 50511000110560 101022000221120