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113198691900 = 223527107503777
BaseRepresentation
bin110100101101100101…
…0101111011000111100
3101211012000022100202110
41221123022233120330
53323312331120100
6124000332454020
711115112001550
oct1513312573074
9354160270673
10113198691900
114400978a738
1219b3201a310
13a8a00cb1c8
14569bd4b860
152e27d38250
hex1a5b2af63c

113198691900 has 144 divisors (see below), whose sum is σ = 377809318656. Its totient is φ = 25632122880.

The previous prime is 113198691887. The next prime is 113198691953. The reversal of 113198691900 is 9196891311.

It is a happy number.

It is a super-2 number, since 2×1131986919002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113198691900.

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, 27189 + ... + 476588.

It is an arithmetic number, because the mean of its divisors is an integer number (2623675824).

Almost surely, 2113198691900 is an apocalyptic number.

113198691900 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 113198691900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188904659328).

113198691900 is an abundant number, since it is smaller than the sum of its proper divisors (264610626756).

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

113198691900 is a wasteful number, since it uses less digits than its factorization.

113198691900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 503908 (or 503901 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 48.

The spelling of 113198691900 in words is "one hundred thirteen billion, one hundred ninety-eight million, six hundred ninety-one thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 107 140 150 175 210 214 300 321 350 420 428 525 535 642 700 749 1050 1070 1284 1498 1605 2100 2140 2247 2675 2996 3210 3745 4494 5350 6420 7490 8025 8988 10700 11235 14980 16050 18725 22470 32100 37450 44940 56175 74900 112350 224700 503777 1007554 1511331 2015108 2518885 3022662 3526439 5037770 6045324 7052878 7556655 10075540 10579317 12594425 14105756 15113310 17632195 21158634 25188850 30226620 35264390 37783275 42317268 50377700 52896585 53904139 70528780 75566550 88160975 105793170 107808278 151133100 161712417 176321950 211586340 215616556 264482925 269520695 323424834 352643900 377328973 528965850 539041390 646849668 754657946 808562085 1057931700 1078082780 1131986919 1347603475 1509315892 1617124170 1886644865 2263973838 2695206950 3234248340 3773289730 4042810425 4527947676 5390413900 5659934595 7546579460 8085620850 9433224325 11319869190 16171241700 18866448650 22639738380 28299672975 37732897300 56599345950 113198691900