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100021012122 = 23293182322531
BaseRepresentation
bin101110100100110110…
…1111000011010011010
3100120011122011212110110
41131021231320122122
53114320334341442
6113540553225150
710140420401223
oct1351155703232
9316148155413
10100021012122
1139467287899
1217474a021b6
13957cc88755
144babb7024a
152905eda69c
hex1749b7869a

100021012122 has 64 divisors (see below), whose sum is σ = 213884559360. Its totient is φ = 31113028800.

The previous prime is 100021012087. The next prime is 100021012183. The reversal of 100021012122 is 221210120001.

It is a junction number, because it is equal to n+sod(n) for n = 100021012098 and 100021012107.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4427997 + ... + 4450527.

It is an arithmetic number, because the mean of its divisors is an integer number (3341946240).

Almost surely, 2100021012122 is an apocalyptic number.

100021012122 is an abundant number, since it is smaller than the sum of its proper divisors (113863547238).

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

100021012122 is a wasteful number, since it uses less digits than its factorization.

100021012122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23419.

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

Adding to 100021012122 its reverse (221210120001), we get a palindrome (321231132123).

The spelling of 100021012122 in words is "one hundred billion, twenty-one million, twelve thousand, one hundred twenty-two".

Divisors: 1 2 3 6 29 31 58 62 87 93 174 186 823 899 1646 1798 2469 2697 4938 5394 22531 23867 25513 45062 47734 51026 67593 71601 76539 135186 143202 153078 653399 698461 739877 1306798 1396922 1479754 1960197 2095383 2219631 3920394 4190766 4439262 18543013 20255369 37086026 40510738 55629039 60766107 111258078 121532214 537747377 574833403 1075494754 1149666806 1613242131 1724500209 3226484262 3449000418 16670168687 33340337374 50010506061 100021012122