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112100434020 = 223253738814337
BaseRepresentation
bin110100001100110110…
…1001110000001100100
3101201100110202002011200
41220121231032001210
53314040202342040
6123255341202500
711045644652541
oct1503155160144
9351313662150
10112100434020
11435a58552a3
1219886260430
13a75670a483
1455d6143bc8
152db16e8630
hex1a19b4e064

112100434020 has 144 divisors (see below), whose sum is σ = 349398726768. Its totient is φ = 29071319040.

The previous prime is 112100434001. The next prime is 112100434021. The reversal of 112100434020 is 20434001211.

112100434020 is a `hidden beast` number, since 1 + 1 + 210 + 0 + 434 + 0 + 20 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1514922084 + 110585511936 = 38922^2 + 332544^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 112100433984 and 112100434002.

It is not an unprimeable number, because it can be changed into a prime (112100434021) 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, 25845292 + ... + 25849628.

It is an arithmetic number, because the mean of its divisors is an integer number (2426380047).

Almost surely, 2112100434020 is an apocalyptic number.

112100434020 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 112100434020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174699363384).

112100434020 is an abundant number, since it is smaller than the sum of its proper divisors (237298292748).

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

112100434020 is a wasteful number, since it uses less digits than its factorization.

112100434020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8270 (or 8265 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 112100434020 its reverse (20434001211), we get a palindrome (132534435231).

The spelling of 112100434020 in words is "one hundred twelve billion, one hundred million, four hundred thirty-four thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 37 45 60 74 90 111 148 180 185 222 333 370 444 555 666 740 1110 1332 1665 2220 3330 3881 4337 6660 7762 8674 11643 13011 15524 17348 19405 21685 23286 26022 34929 38810 39033 43370 46572 52044 58215 65055 69858 77620 78066 86740 116430 130110 139716 143597 156132 160469 174645 195165 232860 260220 287194 320938 349290 390330 430791 481407 574388 641876 698580 717985 780660 802345 861582 962814 1292373 1435970 1444221 1604690 1723164 1925628 2153955 2407035 2584746 2871940 2888442 3209380 4307910 4814070 5169492 5776884 6461865 7221105 8615820 9628140 12923730 14442210 16831897 25847460 28884420 33663794 50495691 67327588 84159485 100991382 151487073 168318970 201982764 252478455 302974146 336637940 504956910 605948292 622780189 757435365 1009913820 1245560378 1514870730 1868340567 2491120756 3029741460 3113900945 3736681134 5605021701 6227801890 7473362268 9341702835 11210043402 12455603780 18683405670 22420086804 28025108505 37366811340 56050217010 112100434020