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113211213100 = 2252194110114389
BaseRepresentation
bin110100101101111101…
…0100000010100101100
3101211012212212111121121
41221123322200110230
53323324032304400
6124001501110324
711115323301526
oct1513372402454
9354185774547
10113211213100
1144015862037
1219b362583a4
13a8a28934bb
14569d88aa16
152e28ead21a
hex1a5bea052c

113211213100 has 144 divisors (see below), whose sum is σ = 267546938400. Its totient is φ = 41437440000.

The previous prime is 113211213061. The next prime is 113211213107. The reversal of 113211213100 is 1312112311.

It is a happy number.

It is a super-2 number, since 2×1132112131002 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113211213107) 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, 7860706 + ... + 7875094.

It is an arithmetic number, because the mean of its divisors is an integer number (1857964850).

Almost surely, 2113211213100 is an apocalyptic number.

113211213100 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 113211213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133773469200).

113211213100 is an abundant number, since it is smaller than the sum of its proper divisors (154335725300).

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

113211213100 is a wasteful number, since it uses less digits than its factorization.

113211213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14564 (or 14557 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 16.

Adding to 113211213100 its reverse (1312112311), we get a palindrome (114523325411).

The spelling of 113211213100 in words is "one hundred thirteen billion, two hundred eleven million, two hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 41 50 76 82 95 100 101 164 190 202 205 380 404 410 475 505 779 820 950 1010 1025 1558 1900 1919 2020 2050 2525 3116 3838 3895 4100 4141 5050 7676 7790 8282 9595 10100 14389 15580 16564 19190 19475 20705 28778 38380 38950 41410 47975 57556 71945 77900 78679 82820 95950 103525 143890 157358 191900 207050 273391 287780 314716 359725 393395 414100 546782 589949 719450 786790 1093564 1179898 1366955 1438900 1453289 1573580 1966975 2359796 2733910 2906578 2949745 3933950 5467820 5813156 5899490 6834775 7266445 7867900 11209031 11798980 13669550 14532890 14748725 22418062 27339100 27612491 29065780 29497450 36332225 44836124 55224982 56045155 58994900 59584849 72664450 110449964 112090310 119169698 138062455 145328900 224180620 238339396 276124910 280225775 297924245 552249820 560451550 595848490 690312275 1120903100 1132112131 1191696980 1380624550 1489621225 2264224262 2761249100 2979242450 4528448524 5660560655 5958484900 11321121310 22642242620 28302803275 56605606550 113211213100