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11312122200 = 2335223819719
BaseRepresentation
bin10101000100100000…
…10100100101011000
31002012100202100101220
422202100110211120
5141131400402300
65110254012040
7550216311051
oct124220244530
932170670356
1011312122200
114885441925
1222384a7020
1310b37aac42
1479451b728
15463194da0
hex2a2414958

11312122200 has 96 divisors (see below), whose sum is σ = 36592300800. Its totient is φ = 2885407360.

The previous prime is 11312122193. The next prime is 11312122271. The reversal of 11312122200 is 222121311.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 11312122200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396060 + ... + 423659.

It is an arithmetic number, because the mean of its divisors is an integer number (381169800).

Almost surely, 211312122200 is an apocalyptic number.

11312122200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11312122200 is an abundant number, since it is smaller than the sum of its proper divisors (25280178600).

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

11312122200 is a wasteful number, since it uses less digits than its factorization.

11312122200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 819761 (or 819752 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 11312122200 its reverse (222121311), we get a palindrome (11534243511).

The spelling of 11312122200 in words is "eleven billion, three hundred twelve million, one hundred twenty-two thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 25 30 40 46 50 60 69 75 92 100 115 120 138 150 184 200 230 276 300 345 460 552 575 600 690 920 1150 1380 1725 2300 2760 3450 4600 6900 13800 819719 1639438 2459157 3278876 4098595 4918314 6557752 8197190 9836628 12295785 16394380 18853537 19673256 20492975 24591570 32788760 37707074 40985950 49183140 56560611 61478925 75414148 81971900 94267685 98366280 113121222 122957850 150828296 163943800 188535370 226242444 245915700 282803055 377070740 452484888 471338425 491831400 565606110 754141480 942676850 1131212220 1414015275 1885353700 2262424440 2828030550 3770707400 5656061100 11312122200