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112103434430 = 251329179283587
BaseRepresentation
bin110100001100111100…
…0101010100010111110
3101201100200101111221222
41220121320222202332
53314041434400210
6123255525353342
711046012320231
oct1503170524276
9351320344858
10112103434430
11435a7514579
1219887268852
13a75721b070
1455d66c5418
152db1adc655
hex1a19e2a8be

112103434430 has 128 divisors (see below), whose sum is σ = 227242713600. Its totient is φ = 39533566464.

The previous prime is 112103434427. The next prime is 112103434447. The reversal of 112103434430 is 34434301211.

It is a happy number.

It is a super-2 number, since 2×1121034344302 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a self number, because there is not a number n which added to its sum of digits gives 112103434430.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 190976597 + ... + 190977183.

It is an arithmetic number, because the mean of its divisors is an integer number (1775333700).

Almost surely, 2112103434430 is an apocalyptic number.

112103434430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

112103434430 is an abundant number, since it is smaller than the sum of its proper divisors (115139279170).

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

112103434430 is a wasteful number, since it uses less digits than its factorization.

112103434430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1098.

The product of its (nonzero) digits is 3456, while the sum is 26.

Adding to 112103434430 its reverse (34434301211), we get a palindrome (146537735641).

The spelling of 112103434430 in words is "one hundred twelve billion, one hundred three million, four hundred thirty-four thousand, four hundred thirty".

Divisors: 1 2 5 10 13 26 29 58 65 130 145 179 283 290 358 377 566 587 754 895 1174 1415 1790 1885 2327 2830 2935 3679 3770 4654 5191 5870 7358 7631 8207 10382 11635 15262 16414 17023 18395 23270 25955 34046 36790 38155 41035 50657 51910 67483 76310 82070 85115 101314 105073 106691 134966 166121 170230 210146 213382 221299 253285 332242 337415 442598 506570 525365 533455 658541 674830 830605 1050730 1066910 1106495 1317082 1365949 1469053 1661210 2159573 2212990 2731898 2938106 3047117 3292705 4319146 4817509 6094234 6585410 6829745 7345265 9635018 10797865 13659490 14690530 15235585 19097689 21595730 24087545 29735659 30471170 38195378 39612521 48175090 59471318 62627617 79225042 95488445 125255234 148678295 190976890 198062605 297356590 313138085 386563567 396125210 626276170 773127134 862334111 1724668222 1932817835 3865635670 4311670555 8623341110 11210343443 22420686886 56051717215 112103434430