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12100220034 = 2372199532273
BaseRepresentation
bin10110100010011101…
…01011010010000010
31011020021200212101120
423101032223102002
5144240124020114
65320405413110
7605566113300
oct132116532202
934207625346
1012100220034
11514a293451
12241840a196
1311aab54516
1482b069270
154ac46a5a9
hex2d13ab482

12100220034 has 96 divisors (see below), whose sum is σ = 29677337280. Its totient is φ = 3270371328.

The previous prime is 12100220017. The next prime is 12100220039. The reversal of 12100220034 is 43002200121.

It is a super-2 number, since 2×121002200342 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12100219995 and 12100220022.

It is not an unprimeable number, because it can be changed into a prime (12100220039) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5322322 + ... + 5324594.

It is an arithmetic number, because the mean of its divisors is an integer number (309138930).

Almost surely, 212100220034 is an apocalyptic number.

12100220034 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 12100220034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14838668640).

12100220034 is an abundant number, since it is smaller than the sum of its proper divisors (17577117246).

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

12100220034 is a wasteful number, since it uses less digits than its factorization.

12100220034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3264 (or 3257 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 12100220034 its reverse (43002200121), we get a palindrome (55102420155).

The spelling of 12100220034 in words is "twelve billion, one hundred million, two hundred twenty thousand, thirty-four".

Divisors: 1 2 3 6 7 14 19 21 38 42 49 57 98 114 133 147 266 294 399 798 931 953 1862 1906 2273 2793 2859 4546 5586 5718 6671 6819 13342 13638 15911 18107 20013 31822 36214 40026 43187 46697 47733 54321 86374 93394 95466 108642 111377 126749 129561 140091 222754 253498 259122 280182 302309 334131 380247 604618 668262 760494 887243 906927 1774486 1813854 2116163 2166169 2661729 4232326 4332338 5323458 6348489 6498507 12696978 12997014 15163183 30326366 41157211 45489549 82314422 90979098 106142281 123471633 212284562 246943266 288100477 318426843 576200954 636853686 864301431 1728602862 2016703339 4033406678 6050110017 12100220034