Search a number
-
+
100112122022110 = 251141149677220057
BaseRepresentation
bin10110110000110100101011…
…011110001000100011011110
3111010110121212220200101202021
4112300310223132020203132
5101110214111214201420
6552530512434450354
730041601465460132
oct2660645336104336
9433417786611667
10100112122022110
1129998348a66970
12b28a4971339ba
1343b26c0171623
141aa1649b753c2
15b8922cd2e7aa
hex5b0d2b7888de

100112122022110 has 128 divisors (see below), whose sum is σ = 203030440099200. Its totient is φ = 35225860300800.

The previous prime is 100112122022089. The next prime is 100112122022149. The reversal of 100112122022110 is 11220221211001.

It is a congruent 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, 454827202 + ... + 455047258.

It is an arithmetic number, because the mean of its divisors is an integer number (1586175313275).

Almost surely, 2100112122022110 is an apocalyptic number.

100112122022110 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

100112122022110 is an abundant number, since it is smaller than the sum of its proper divisors (102918318077090).

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

100112122022110 is a wasteful number, since it uses less digits than its factorization.

100112122022110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220942.

The product of its (nonzero) digits is 32, while the sum is 16.

Adding to 100112122022110 its reverse (11220221211001), we get a palindrome (111332343233111).

The spelling of 100112122022110 in words is "one hundred trillion, one hundred twelve billion, one hundred twenty-two million, twenty-two thousand, one hundred ten".

Divisors: 1 2 5 10 11 22 41 55 82 110 149 205 298 410 451 677 745 902 1354 1490 1639 2255 3278 3385 4510 6109 6770 7447 8195 12218 14894 16390 27757 30545 37235 55514 61090 67199 74470 100873 134398 138785 201746 220057 277570 305327 335995 440114 504365 610654 671990 1008730 1100285 1109603 1526635 2200570 2219206 2420627 3053270 4135793 4841254 5548015 8271586 9022337 11096030 12103135 18044674 20678965 24206270 32788493 41357930 45111685 45493723 65576986 90223370 90987446 99245707 148978589 163942465 198491414 227468615 297957178 327884930 360673423 454937230 496228535 721346846 744892945 992457070 1344328213 1489785890 1638764479 1803367115 2688656426 3277528958 3606734230 6108122149 6721641065 8193822395 12216244298 13443282130 14787610343 16387644790 22197809761 29575220686 30540610745 44395619522 61081221490 67189343639 73938051715 110989048805 134378687278 147876103430 221978097610 244175907371 335946718195 488351814742 671893436390 910110200201 1220879536855 1820220400402 2441759073710 4550551001005 9101102002010 10011212202211 20022424404422 50056061011055 100112122022110