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211234020144 = 24372017311687
BaseRepresentation
bin1100010010111010000…
…1110101101100110000
3202012020021002001000120
43010232201311230300
511430101402121034
6241012314050240
721155401355220
oct3045641655460
9665207061016
10211234020144
1181647108874
1234b31a19980
1316bc4882884
14a31c0ac080
15576483cc49
hex312e875b30

211234020144 has 80 divisors (see below), whose sum is σ = 623954492928. Its totient is φ = 60322461696.

The previous prime is 211234020131. The next prime is 211234020157. The reversal of 211234020144 is 441020432112.

It is an interprime number because it is at equal distance from previous prime (211234020131) and next prime (211234020157).

It is a super-2 number, since 2×2112340201442 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 521869 + ... + 833555.

Almost surely, 2211234020144 is an apocalyptic number.

211234020144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

211234020144 is an abundant number, since it is smaller than the sum of its proper divisors (412720472784).

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

211234020144 is a wasteful number, since it uses less digits than its factorization.

211234020144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 313722 (or 313716 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 24.

Adding to 211234020144 its reverse (441020432112), we get a palindrome (652254452256).

The spelling of 211234020144 in words is "two hundred eleven billion, two hundred thirty-four million, twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 2017 4034 6051 8068 12102 14119 16136 24204 28238 32272 42357 48408 56476 84714 96816 112952 169428 225904 311687 338856 623374 677712 935061 1246748 1870122 2181809 2493496 3740244 4363618 4986992 6545427 7480488 8727236 13090854 14960976 17454472 26181708 34908944 52363416 104726832 628672679 1257345358 1886018037 2514690716 3772036074 4400708753 5029381432 7544072148 8801417506 10058762864 13202126259 15088144296 17602835012 26404252518 30176288592 35205670024 52808505036 70411340048 105617010072 211234020144