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103113192 = 233713311523
BaseRepresentation
bin1100010010101…
…10000111101000
321012000200201010
412021112013220
5202344110232
614122023520
72361306360
oct611260750
9235020633
10103113192
1153228516
122a647ba0
1318493830
14d9a19a0
1590bc0cc
hex62561e8

103113192 has 128 divisors (see below), whose sum is σ = 327720960. Its totient is φ = 26300160.

The previous prime is 103113169. The next prime is 103113203. The reversal of 103113192 is 291311301.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 66943 + ... + 68465.

It is an arithmetic number, because the mean of its divisors is an integer number (2560320).

Almost surely, 2103113192 is an apocalyptic number.

103113192 is a gapful number since it is divisible by the number (12) 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 103113192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163860480).

103113192 is an abundant number, since it is smaller than the sum of its proper divisors (224607768).

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

103113192 is a wasteful number, since it uses less digits than its factorization.

With its successor (103113193) it forms a Ruth-Aaron pair, since the sum of their prime factors is the same (1583).

103113192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1583 (or 1579 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 21.

The square root of 103113192 is about 10154.4666034214. The cubic root of 103113192 is about 468.9264648311.

Adding to 103113192 its reverse (291311301), we get a palindrome (394424493).

The spelling of 103113192 in words is "one hundred three million, one hundred thirteen thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 546 651 728 744 806 868 1092 1209 1302 1523 1612 1736 2184 2418 2604 2821 3046 3224 4569 4836 5208 5642 6092 8463 9138 9672 10661 11284 12184 16926 18276 19799 21322 22568 31983 33852 36552 39598 42644 47213 59397 63966 67704 79196 85288 94426 118794 127932 138593 141639 158392 188852 237588 255864 277186 283278 330491 377704 415779 475176 554372 566556 613769 660982 831558 991473 1108744 1133112 1227538 1321964 1663116 1841307 1982946 2455076 2643928 3326232 3682614 3965892 4296383 4910152 7365228 7931784 8592766 12889149 14730456 17185532 25778298 34371064 51556596 103113192