Search a number
-
+
101031220122 = 237191131676709
BaseRepresentation
bin101111000010111101…
…1100001001110011010
3100122210001001202022120
41132011323201032122
53123402443020442
6114225121402110
710204435126110
oct1360573411632
9318701052276
10101031220122
1139935543038
12176b7199336
1396b135b071
144c65db7ab0
152964a364ec
hex1785ee139a

101031220122 has 128 divisors (see below), whose sum is σ = 246739046400. Its totient is φ = 26938469376.

The previous prime is 101031220111. The next prime is 101031220237. The reversal of 101031220122 is 221022130101.

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, 15055704 + ... + 15062412.

It is an arithmetic number, because the mean of its divisors is an integer number (1927648800).

Almost surely, 2101031220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101031220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123369523200).

101031220122 is an abundant number, since it is smaller than the sum of its proper divisors (145707826278).

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

101031220122 is a wasteful number, since it uses less digits than its factorization.

101031220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7020.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 101031220122 its reverse (221022130101), we get a palindrome (322053350223).

The spelling of 101031220122 in words is "one hundred one billion, thirty-one million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 14 19 21 38 42 57 113 114 133 167 226 266 334 339 399 501 678 791 798 1002 1169 1582 2147 2338 2373 3173 3507 4294 4746 6346 6441 6709 7014 9519 12882 13418 15029 18871 19038 20127 22211 30058 37742 40254 44422 45087 46963 56613 66633 90174 93926 113226 127471 132097 133266 140889 254942 264194 281778 358549 382413 396291 717098 758117 764826 792582 892297 1075647 1120403 1516234 1784594 2151294 2240806 2274351 2509843 2676891 3361209 4548702 5019686 5306819 5353782 6722418 7529529 7842821 10613638 14404223 15059058 15685642 15920457 21287657 23528463 28808446 31840914 42575314 43212669 47056926 63862971 86425338 100829561 126605539 127725942 149013599 201659122 253211078 298027198 302488683 379816617 447040797 604977366 759633234 886238773 894081594 1772477546 2405505241 2658716319 4811010482 5317432638 7216515723 14433031446 16838536687 33677073374 50515610061 101031220122