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113000033100 = 223521036175927
BaseRepresentation
bin110100100111101010…
…0111010101101001100
3101210200011111110010010
41221033110322231030
53322411002024400
6123524514513220
711110150301433
oct1511724725514
9353604443103
10113000033100
1143a17633409
1219a97595810
13a86abc3516
14567d7d811a
152e15696450
hex1a4f53ab4c

113000033100 has 144 divisors (see below), whose sum is σ = 330711833088. Its totient is φ = 29787394560.

The previous prime is 113000033089. The next prime is 113000033101. The reversal of 113000033100 is 1330000311.

It is a super-2 number, since 2×1130000331002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (113000033101) 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, 19062337 + ... + 19068263.

It is an arithmetic number, because the mean of its divisors is an integer number (2296609952).

Almost surely, 2113000033100 is an apocalyptic number.

113000033100 is a gapful number since it is divisible by the number (10) 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 113000033100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165355916544).

113000033100 is an abundant number, since it is smaller than the sum of its proper divisors (217711799988).

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

113000033100 is a wasteful number, since it uses less digits than its factorization.

113000033100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6664 (or 6657 counting only the distinct ones).

The product of its (nonzero) digits is 27, while the sum is 12.

Adding to 113000033100 its reverse (1330000311), we get a palindrome (114330033411).

The spelling of 113000033100 in words is "one hundred thirteen billion, thirty-three thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 103 150 206 300 309 412 515 617 618 1030 1234 1236 1545 1851 2060 2468 2575 3085 3090 3702 5150 5927 6170 6180 7404 7725 9255 10300 11854 12340 15425 15450 17781 18510 23708 29635 30850 30900 35562 37020 46275 59270 61700 63551 71124 88905 92550 118540 127102 148175 177810 185100 190653 254204 296350 317755 355620 381306 444525 592700 610481 635510 762612 889050 953265 1220962 1271020 1588775 1778100 1831443 1906530 2441924 3052405 3177550 3656959 3662886 3813060 4766325 6104810 6355100 7313918 7325772 9157215 9532650 10970877 12209620 14627836 15262025 18284795 18314430 19065300 21941754 30524050 36569590 36628860 43883508 45786075 54854385 61048100 73139180 91423975 91572150 109708770 182847950 183144300 219417540 274271925 365695900 376666777 548543850 753333554 1097087700 1130000331 1506667108 1883333885 2260000662 3766667770 4520001324 5650001655 7533335540 9416669425 11300003310 18833338850 22600006620 28250008275 37666677700 56500016550 113000033100