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112253354460 = 223251353905123
BaseRepresentation
bin110100010001011010…
…0100100000111011100
3101201202010111020120200
41220202310210013130
53314343324320320
6123322442543500
711052512524662
oct1504264440734
9351663436520
10112253354460
1143674101725
1219909507b90
13a77c2bc740
14560c58cc32
152dbed53290
hex1a22d241dc

112253354460 has 144 divisors (see below), whose sum is σ = 373613464224. Its totient is φ = 27110214144.

The previous prime is 112253354441. The next prime is 112253354471. The reversal of 112253354460 is 64453352211.

112253354460 is a `hidden beast` number, since 1 + 1 + 2 + 2 + 53 + 3 + 544 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 328542 + ... + 576581.

It is an arithmetic number, because the mean of its divisors is an integer number (2594537946).

Almost surely, 2112253354460 is an apocalyptic number.

112253354460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112253354460 is an abundant number, since it is smaller than the sum of its proper divisors (261360109764).

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

112253354460 is a wasteful number, since it uses less digits than its factorization.

112253354460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 905204 (or 905199 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

The spelling of 112253354460 in words is "one hundred twelve billion, two hundred fifty-three million, three hundred fifty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 13 15 18 20 26 30 36 39 45 52 53 60 65 78 90 106 117 130 156 159 180 195 212 234 260 265 318 390 468 477 530 585 636 689 780 795 954 1060 1170 1378 1590 1908 2067 2340 2385 2756 3180 3445 4134 4770 6201 6890 8268 9540 10335 12402 13780 20670 24804 31005 41340 62010 124020 905123 1810246 2715369 3620492 4525615 5430738 8146107 9051230 10861476 11766599 13576845 16292214 18102460 23533198 27153690 32584428 35299797 40730535 47066396 47971519 54307380 58832995 70599594 81461070 95943038 105899391 117665990 141199188 143914557 162922140 176498985 191886076 211798782 235331980 239857595 287829114 352997970 423597564 431743671 479715190 529496955 575658228 623629747 705995940 719572785 863487342 959430380 1058993910 1247259494 1439145570 1726974684 1870889241 2117987820 2158718355 2494518988 2878291140 3118148735 3741778482 4317436710 5612667723 6236297470 7483556964 8634873420 9354446205 11225335446 12472594940 18708892410 22450670892 28063338615 37417784820 56126677230 112253354460