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113275400100 = 223523753192547
BaseRepresentation
bin110100101111110111…
…1010110111110100100
3101211101100122112121220
41221133233112332210
53323442000300400
6124012112540340
711120033004612
oct1513757267644
9354340575556
10113275400100
1144049012745
1219b538516b0
13a8b2c78185
1456a81d86b2
152e2e93b7a0
hex1a5fbd6fa4

113275400100 has 144 divisors (see below), whose sum is σ = 342954174528. Its totient is φ = 28835688960.

The previous prime is 113275400023. The next prime is 113275400101. The reversal of 113275400100 is 1004572311.

It is not an unprimeable number, because it can be changed into a prime (113275400101) 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, 492027 + ... + 684573.

It is an arithmetic number, because the mean of its divisors is an integer number (2381626212).

Almost surely, 2113275400100 is an apocalyptic number.

113275400100 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 113275400100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (171477087264).

113275400100 is an abundant number, since it is smaller than the sum of its proper divisors (229678774428).

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

113275400100 is a wasteful number, since it uses less digits than its factorization.

113275400100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192654 (or 192647 counting only the distinct ones).

The product of its (nonzero) digits is 840, while the sum is 24.

Adding to 113275400100 its reverse (1004572311), we get a palindrome (114279972411).

The spelling of 113275400100 in words is "one hundred thirteen billion, two hundred seventy-five million, four hundred thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 37 50 53 60 74 75 100 106 111 148 150 159 185 212 222 265 300 318 370 444 530 555 636 740 795 925 1060 1110 1325 1590 1850 1961 2220 2650 2775 3180 3700 3922 3975 5300 5550 5883 7844 7950 9805 11100 11766 15900 19610 23532 29415 39220 49025 58830 98050 117660 147075 192547 196100 294150 385094 577641 588300 770188 962735 1155282 1925470 2310564 2888205 3850940 4813675 5776410 7124239 9627350 10204991 11552820 14248478 14441025 19254700 20409982 21372717 28496956 28882050 30614973 35621195 40819964 42745434 51024955 57764100 61229946 71242390 85490868 102049910 106863585 122459892 142484780 153074865 178105975 204099820 213727170 255124775 306149730 356211950 377584667 427454340 510249550 534317925 612299460 712423900 755169334 765374325 1020499100 1068635850 1132754001 1510338668 1530748650 1887923335 2137271700 2265508002 3061497300 3775846670 4531016004 5663770005 7551693340 9439616675 11327540010 18879233350 22655080020 28318850025 37758466700 56637700050 113275400100