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3114232133100 = 22352115903159869
BaseRepresentation
bin101101010100010110101…
…100110011010111101100
3102000201101012011220000120
4231110112230303113230
5402010421411224400
610342354122324540
7440665401240024
oct55242654632754
912021335156016
103114232133100
11aa0813940050
12423686059750
13197894a7667a
14aaa301b8a84
155601d166ca0
hex2d516b335ec

3114232133100 has 144 divisors (see below), whose sum is σ = 9831375751680. Its totient is φ = 754832748800.

The previous prime is 3114232133099. The next prime is 3114232133107. The reversal of 3114232133100 is 13312324113.

It is a super-2 number, since 2×31142321331002 (a number of 26 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (3114232133107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 19399966 + ... + 19559834.

It is an arithmetic number, because the mean of its divisors is an integer number (68273442720).

Almost surely, 23114232133100 is an apocalyptic number.

3114232133100 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3114232133100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4915687875840).

3114232133100 is an abundant number, since it is smaller than the sum of its proper divisors (6717143618580).

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

3114232133100 is a wasteful number, since it uses less digits than its factorization.

3114232133100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165800 (or 165793 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 24.

Adding to 3114232133100 its reverse (13312324113), we get a palindrome (3127544457213).

The spelling of 3114232133100 in words is "three trillion, one hundred fourteen billion, two hundred thirty-two million, one hundred thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 5903 11806 17709 23612 29515 35418 59030 64933 70836 88545 118060 129866 147575 159869 177090 194799 259732 295150 319738 324665 354180 389598 442725 479607 590300 639476 649330 779196 799345 885450 959214 973995 1298660 1598690 1623325 1758559 1770900 1918428 1947990 2398035 3197380 3246650 3517118 3895980 3996725 4796070 4869975 5275677 6493300 7034236 7993450 8792795 9592140 9739950 10551354 11990175 15986900 17585590 19479900 21102708 23980350 26378385 35171180 43963975 47960700 52756770 87927950 105513540 131891925 175855900 263783850 527567700 943706707 1887413414 2831120121 3774826828 4718533535 5662240242 9437067070 10380773777 11324480484 14155600605 18874134140 20761547554 23592667675 28311201210 31142321331 41523095108 47185335350 51903868885 56622402420 62284642662 70778003025 94370670700 103807737770 124569285324 141556006050 155711606655 207615475540 259519344425 283112012100 311423213310 519038688850 622846426620 778558033275 1038077377700 1557116066550 3114232133100