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110121001122 = 231123683106213
BaseRepresentation
bin110011010001110111…
…0010010000010100010
3101112020112002110201010
41212203232102002202
53301011434013442
6122331111121350
710645621031256
oct1464356220242
9345215073633
10110121001122
114277a486040
1219413373256
13a4cc5b46c2
1454892c0266
152ce7a49b9c
hex19a3b920a2

110121001122 has 64 divisors (see below), whose sum is σ = 251079699456. Its totient is φ = 31872096960.

The previous prime is 110121001073. The next prime is 110121001171. The reversal of 110121001122 is 221100121011.

It is an interprime number because it is at equal distance from previous prime (110121001073) and next prime (110121001171).

It is a super-2 number, since 2×1101210011222 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 110121001098 and 110121001107.

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, 983688 + ... + 1089900.

It is an arithmetic number, because the mean of its divisors is an integer number (3923120304).

Almost surely, 2110121001122 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 110121001122, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125539849728).

110121001122 is an abundant number, since it is smaller than the sum of its proper divisors (140958698334).

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

110121001122 is a wasteful number, since it uses less digits than its factorization.

110121001122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106935.

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 110121001122 its reverse (221100121011), we get a palindrome (331221122133).

The spelling of 110121001122 in words is "one hundred ten billion, one hundred twenty-one million, one thousand, one hundred twenty-two".

Divisors: 1 2 3 6 11 22 23 33 46 66 69 138 253 506 683 759 1366 1518 2049 4098 7513 15026 15709 22539 31418 45078 47127 94254 106213 172799 212426 318639 345598 518397 637278 1036794 1168343 2336686 2442899 3505029 4885798 7010058 7328697 14657394 26871889 53743778 72543479 80615667 145086958 161231334 217630437 435260874 797978269 1595956538 1668500017 2393934807 3337000034 4787869614 5005500051 10011000102 18353500187 36707000374 55060500561 110121001122