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113022011100 = 223521922986587
BaseRepresentation
bin110100101000010100…
…0110000011011011100
3101210201200212001021010
41221100220300123130
53322432113323400
6123531021535220
711110535146305
oct1512050603334
9353650761233
10113022011100
1143a28a84849
1219aa2a14510
13a87261a05b
1456826b97ac
152e17588450
hex1a50a306dc

113022011100 has 144 divisors (see below), whose sum is σ = 345728566400. Its totient is φ = 28427915520.

The previous prime is 113022011099. The next prime is 113022011101. The reversal of 113022011100 is 1110220311.

It is an interprime number because it is at equal distance from previous prime (113022011099) and next prime (113022011101).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113022011101) 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, 1262007 + ... + 1348593.

Almost surely, 2113022011100 is an apocalyptic number.

113022011100 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 113022011100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172864283200).

113022011100 is an abundant number, since it is smaller than the sum of its proper divisors (232706555300).

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

113022011100 is a wasteful number, since it uses less digits than its factorization.

113022011100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86852 (or 86845 counting only the distinct ones).

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

Adding to 113022011100 its reverse (1110220311), we get a palindrome (114132231411).

The spelling of 113022011100 in words is "one hundred thirteen billion, twenty-two million, eleven thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 25 30 38 50 57 60 75 76 95 100 114 150 190 228 229 285 300 380 458 475 570 687 916 950 1140 1145 1374 1425 1900 2290 2748 2850 3435 4351 4580 5700 5725 6870 8702 11450 13053 13740 17175 17404 21755 22900 26106 34350 43510 52212 65265 68700 86587 87020 108775 130530 173174 217550 259761 261060 326325 346348 432935 435100 519522 652650 865870 1039044 1298805 1305300 1645153 1731740 2164675 2597610 3290306 4329350 4935459 5195220 6494025 6580612 8225765 8658700 9870918 12988050 16451530 19741836 19828423 24677295 25976100 32903060 39656846 41128825 49354590 59485269 79313692 82257650 98709180 99142115 118970538 123386475 164515300 198284230 237941076 246772950 297426345 376740037 396568460 493545900 495710575 594852690 753480074 991421150 1130220111 1189705380 1487131725 1506960148 1883700185 1982842300 2260440222 2974263450 3767400370 4520880444 5651100555 5948526900 7534800740 9418500925 11302201110 18837001850 22604402220 28255502775 37674003700 56511005550 113022011100