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10000211012022 = 23711167638920287
BaseRepresentation
bin1001000110000101101100…
…0001100110100110110110
31022102000021220021202220110
42101201123001212212312
52302320413004341042
633134011123443450
72051330360044560
oct221413301464666
938360256252813
1010000211012022
11320607a458520
121156136526586
13577028a99bca
1426802717a330
151251dd72509c
hex9185b0669b6

10000211012022 has 128 divisors (see below), whose sum is σ = 25090068971520. Its totient is φ = 2581372402560.

The previous prime is 10000211012017. The next prime is 10000211012053. The reversal of 10000211012022 is 22021011200001.

It is a junction number, because it is equal to n+sod(n) for n = 10000211011989 and 10000211012007.

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, 492926763 + ... + 492947049.

It is an arithmetic number, because the mean of its divisors is an integer number (196016163840).

Almost surely, 210000211012022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10000211012022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12545034485760).

10000211012022 is an abundant number, since it is smaller than the sum of its proper divisors (15089857959498).

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

10000211012022 is a wasteful number, since it uses less digits than its factorization.

10000211012022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26866.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10000211012022 its reverse (22021011200001), we get a palindrome (32021222212023).

The spelling of 10000211012022 in words is "ten trillion, two hundred eleven million, twelve thousand, twenty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 167 231 334 462 501 1002 1169 1837 2338 3507 3674 5511 6389 7014 11022 12778 12859 19167 20287 25718 38334 38577 40574 44723 60861 70279 77154 89446 121722 134169 140558 142009 210837 223157 268338 284018 421674 426027 446314 491953 669471 852054 983906 1066963 1338942 1475859 1562099 2133926 2951718 3124198 3200889 3387929 4686297 6401778 6775858 7468741 9372594 10163787 11736593 14937482 20327574 22406223 23473186 23715503 35209779 37267219 44812446 47431006 70419558 71146509 74534438 82156151 111801657 129613643 142293018 164312302 223603314 246468453 259227286 260870533 388840929 492936906 521741066 777681858 782611599 907295501 1425750073 1565223198 1814591002 2721886503 2851500146 4277250219 5443773006 8554500438 9980250511 19960501022 21645478381 29940751533 43290956762 59881503066 64936435143 129872870286 151518348667 238100262191 303036697334 454555046001 476200524382 714300786573 909110092002 1428601573146 1666701835337 3333403670674 5000105506011 10000211012022