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112002211202220 = 223254737934931483
BaseRepresentation
bin11001011101110110001100…
…000000110100010010101100
3112200120022021200011100021200
4121131312030000310102230
5104140021012031432340
61034113034442325500
732406615130111413
oct3135661400642254
9480508250140250
10112002211202220
1132761964371a29
121068a941ab9890
134a659bc989cc1
141d92d1634647a
15ce367b8c1330
hex65dd8c0344ac

112002211202220 has 144 divisors (see below), whose sum is σ = 347884046415360. Its totient is φ = 29154653232768.

The previous prime is 112002211202197. The next prime is 112002211202227. The reversal of 112002211202220 is 22202112200211.

It is a happy number.

112002211202220 is a `hidden beast` number, since 1 + 1 + 20 + 0 + 221 + 1 + 202 + 220 = 666.

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 = 112002211202193 and 112002211202202.

It is not an unprimeable number, because it can be changed into a prime (112002211202227) 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, 14259402 + ... + 20672081.

It is an arithmetic number, because the mean of its divisors is an integer number (2415861433440).

Almost surely, 2112002211202220 is an apocalyptic number.

112002211202220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

112002211202220 is an abundant number, since it is smaller than the sum of its proper divisors (235881835213140).

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

112002211202220 is a wasteful number, since it uses less digits than its factorization.

112002211202220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34931924 (or 34931919 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 112002211202220 its reverse (22202112200211), we get a palindrome (134204323402431).

The spelling of 112002211202220 in words is "one hundred twelve trillion, two billion, two hundred eleven million, two hundred two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 47 60 90 94 141 180 188 235 282 379 423 470 564 705 758 846 940 1137 1410 1516 1692 1895 2115 2274 2820 3411 3790 4230 4548 5685 6822 7580 8460 11370 13644 17055 17813 22740 34110 35626 53439 68220 71252 89065 106878 160317 178130 213756 267195 320634 356260 534390 641268 801585 1068780 1603170 3206340 34931483 69862966 104794449 139725932 174657415 209588898 314383347 349314830 419177796 523972245 628766694 698629660 1047944490 1257533388 1571916735 1641779701 2095888980 3143833470 3283559402 4925339103 6287666940 6567118804 8208898505 9850678206 13239032057 14776017309 16417797010 19701356412 24626695515 26478064114 29552034618 32835594020 39717096171 49253391030 52956128228 59104069236 66195160285 73880086545 79434192342 98506782060 119151288513 132390320570 147760173090 158868384684 198585480855 238302577026 264780641140 295520346180 397170961710 476605154052 595756442565 622234506679 794341923420 1191512885130 1244469013358 1866703520037 2383025770260 2488938026716 3111172533395 3733407040074 5600110560111 6222345066790 7466814080148 9333517600185 11200221120222 12444690133580 18667035200370 22400442240444 28000552800555 37334070400740 56001105601110 112002211202220