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100110220122 = 23114339199001
BaseRepresentation
bin101110100111100001…
…0001011101101011010
3100120101212001002211110
41131033002023231122
53120011204020442
6113553501241150
710142552554653
oct1351702135532
9316355032743
10100110220122
1139502678110
121749a8631b6
1395955c1053
144bb995252a
15290dc5c69c
hex174f08bb5a

100110220122 has 64 divisors (see below), whose sum is σ = 223583754240. Its totient is φ = 29620080000.

The previous prime is 100110220087. The next prime is 100110220157. The reversal of 100110220122 is 221022011001.

It is an interprime number because it is at equal distance from previous prime (100110220087) and next prime (100110220157).

It is a junction number, because it is equal to n+sod(n) for n = 100110220098 and 100110220107.

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, 11117622 + ... + 11126622.

It is an arithmetic number, because the mean of its divisors is an integer number (3493496160).

Almost surely, 2100110220122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100110220122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111791877120).

100110220122 is an abundant number, since it is smaller than the sum of its proper divisors (123473534118).

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

100110220122 is a wasteful number, since it uses less digits than its factorization.

100110220122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12979.

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

Adding to 100110220122 its reverse (221022011001), we get a palindrome (321132231123).

The spelling of 100110220122 in words is "one hundred billion, one hundred ten million, two hundred twenty thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 43 66 86 129 258 473 946 1419 2838 3919 7838 9001 11757 18002 23514 27003 43109 54006 86218 99011 129327 168517 198022 258654 297033 337034 387043 505551 594066 774086 1011102 1161129 1853687 2322258 3707374 4257473 5561061 8514946 11122122 12772419 25544838 35274919 70549838 105824757 211649514 388024109 776048218 1164072327 1516821517 2328144654 3033643034 4550464551 9100929102 16685036687 33370073374 50055110061 100110220122