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113210021022 = 237311791992441
BaseRepresentation
bin110100101101111010…
…1111101010010011110
3101211012210121221101120
41221123311331102132
53323323231133042
6124001415351410
711115310205220
oct1513365752236
9354183557346
10113210021022
114401511844a
1219b35982566
13a8a2566a27
14569d65a410
152e28d24dec
hex1a5bd7d49e

113210021022 has 128 divisors (see below), whose sum is σ = 270065664000. Its totient is φ = 30958329600.

The previous prime is 113210021011. The next prime is 113210021129. The reversal of 113210021022 is 220120012311.

It is a junction number, because it is equal to n+sod(n) for n = 113210020992 and 113210021010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 46377322 + ... + 46379762.

It is an arithmetic number, because the mean of its divisors is an integer number (2109888000).

Almost surely, 2113210021022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113210021022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135032832000).

113210021022 is an abundant number, since it is smaller than the sum of its proper divisors (156855642978).

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

113210021022 is a wasteful number, since it uses less digits than its factorization.

113210021022 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2862.

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

Adding to 113210021022 its reverse (220120012311), we get a palindrome (333330033333).

The spelling of 113210021022 in words is "one hundred thirteen billion, two hundred ten million, twenty-one thousand, twenty-two".

Divisors: 1 2 3 6 7 14 21 31 42 62 93 179 186 199 217 358 398 434 537 597 651 1074 1194 1253 1302 1393 2441 2506 2786 3759 4179 4882 5549 6169 7323 7518 8358 11098 12338 14646 16647 17087 18507 33294 34174 35621 37014 38843 43183 51261 71242 75671 77686 86366 102522 106863 116529 129549 151342 213726 227013 233058 249347 259098 436939 454026 485759 498694 529697 748041 873878 971518 1059394 1104251 1310817 1457277 1496082 1589091 2208502 2621634 2914554 3058573 3178182 3312753 3400313 6117146 6625506 6800626 7729757 9175719 10200939 13545109 15058529 15459514 18351438 20401878 23189271 27090218 30117058 40635327 45175587 46378542 81270654 86950861 90351174 94815763 105409703 173901722 189631526 210819406 260852583 284447289 316229109 521705166 568894578 608656027 632458218 1217312054 1825968081 2695476691 3651936162 5390953382 8086430073 16172860146 18868336837 37736673674 56605010511 113210021022