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112534016430 = 235111919990191
BaseRepresentation
bin110100011001110001…
…1001101000110101110
3101202110200121100102110
41220303203031012232
53320432202011210
6123410350304450
711062461233313
oct1506343150656
9352420540373
10112534016430
11437a8578170
12199874b8126
13a7c54a9504
14563796ad0a
152dd97e2420
hex1a338cd1ae

112534016430 has 128 divisors (see below), whose sum is σ = 311703552000. Its totient is φ = 25714972800.

The previous prime is 112534016423. The next prime is 112534016443. The reversal of 112534016430 is 34610435211.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 1202635 + ... + 1292825.

It is an arithmetic number, because the mean of its divisors is an integer number (2435184000).

Almost surely, 2112534016430 is an apocalyptic number.

112534016430 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 112534016430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (155851776000).

112534016430 is an abundant number, since it is smaller than the sum of its proper divisors (199169535570).

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

112534016430 is a wasteful number, since it uses less digits than its factorization.

112534016430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90430.

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 112534016430 in words is "one hundred twelve billion, five hundred thirty-four million, sixteen thousand, four hundred thirty".

Divisors: 1 2 3 5 6 10 11 15 19 22 30 33 38 55 57 66 95 110 114 165 190 199 209 285 330 398 418 570 597 627 995 1045 1194 1254 1990 2090 2189 2985 3135 3781 4378 5970 6270 6567 7562 10945 11343 13134 18905 21890 22686 32835 37810 41591 56715 65670 83182 90191 113430 124773 180382 207955 249546 270573 415910 450955 541146 623865 901910 992101 1247730 1352865 1713629 1984202 2705730 2976303 3427258 4960505 5140887 5952606 8568145 9921010 10281774 14881515 17136290 17948009 18849919 25704435 29763030 35896018 37699838 51408870 53844027 56549757 89740045 94249595 107688054 113099514 179480090 188499190 197428099 269220135 282748785 341012171 394856198 538440270 565497570 592284297 682024342 987140495 1023036513 1184568594 1705060855 1974280990 2046073026 2961421485 3410121710 3751133881 5115182565 5922842970 7502267762 10230365130 11253401643 18755669405 22506803286 37511338810 56267008215 112534016430