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11720110100 = 22521943167859
BaseRepresentation
bin10101110101001001…
…01011000000010100
31010020210110021120212
422322210223000110
5143000322010400
65214550344552
7563302202126
oct127244530024
933223407525
1011720110100
114a74773206
12233105b158
13114a1882ba
147d27a1216
15488dd5335
hex2ba92b014

11720110100 has 144 divisors (see below), whose sum is σ = 27589900800. Its totient is φ = 4307022720.

The previous prime is 11720110079. The next prime is 11720110111. The reversal of 11720110100 is 101102711.

It is a super-2 number, since 2×117201101002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13643471 + ... + 13644329.

Almost surely, 211720110100 is an apocalyptic number.

11720110100 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 11720110100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13794950400).

11720110100 is an abundant number, since it is smaller than the sum of its proper divisors (15869790700).

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

11720110100 is a wasteful number, since it uses less digits than its factorization.

11720110100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1102 (or 1095 counting only the distinct ones).

The product of its (nonzero) digits is 14, while the sum is 14.

Adding to 11720110100 its reverse (101102711), we get a palindrome (11821212811).

The spelling of 11720110100 in words is "eleven billion, seven hundred twenty million, one hundred ten thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 43 50 76 86 95 100 167 172 190 215 334 380 430 475 668 817 835 859 860 950 1075 1634 1670 1718 1900 2150 3173 3268 3340 3436 4085 4175 4295 4300 6346 7181 8170 8350 8590 12692 14362 15865 16321 16340 16700 17180 20425 21475 28724 31730 32642 35905 36937 40850 42950 63460 65284 71810 73874 79325 81605 81700 85900 136439 143453 143620 147748 158650 163210 179525 184685 272878 286906 317300 326420 359050 369370 408025 545756 573812 682195 701803 717265 718100 738740 816050 923425 1364390 1403606 1434530 1632100 1846850 2725607 2728780 2807212 2869060 3410975 3509015 3586325 3693700 5451214 6168479 6821950 7018030 7172650 10902428 12336958 13628035 13643900 14036060 14345300 17545075 24673916 27256070 30842395 35090150 54512140 61684790 68140175 70180300 117201101 123369580 136280350 154211975 234402202 272560700 308423950 468804404 586005505 616847900 1172011010 2344022020 2930027525 5860055050 11720110100