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201212211144 = 23372199005201
BaseRepresentation
bin1011101101100100101…
…1101010111111001000
3201020100211021101120110
42323121023222333020
511244040311224034
6232234031554320
720352140401200
oct2733113527710
9636324241513
10201212211144
117837405839a
1232bb568b9a0
1315c884ca789
149a4b0ad400
155379ac2de9
hex2ed92eafc8

201212211144 has 96 divisors (see below), whose sum is σ = 615955816800. Its totient is φ = 54463449600.

The previous prime is 201212211143. The next prime is 201212211173. The reversal of 201212211144 is 441112212102.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 201212211144.

It is not an unprimeable number, because it can be changed into a prime (201212211143) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4480257 + ... + 4524944.

It is an arithmetic number, because the mean of its divisors is an integer number (6416206425).

Almost surely, 2201212211144 is an apocalyptic number.

201212211144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

201212211144 is an abundant number, since it is smaller than the sum of its proper divisors (414743605656).

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

201212211144 is a wasteful number, since it uses less digits than its factorization.

201212211144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9005243 (or 9005232 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 201212211144 its reverse (441112212102), we get a palindrome (642324423246).

The spelling of 201212211144 in words is "two hundred one billion, two hundred twelve million, two hundred eleven thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 19 21 24 28 38 42 49 56 57 76 84 98 114 133 147 152 168 196 228 266 294 392 399 456 532 588 798 931 1064 1176 1596 1862 2793 3192 3724 5586 7448 11172 22344 9005201 18010402 27015603 36020804 54031206 63036407 72041608 108062412 126072814 171098819 189109221 216124824 252145628 342197638 378218442 441254849 504291256 513296457 684395276 756436884 882509698 1026592914 1197691733 1323764547 1368790552 1512873768 1765019396 2053185828 2395383466 2647529094 3530038792 3593075199 4106371656 4790766932 5295058188 7186150398 8383842131 9581533864 10590116376 14372300796 16767684262 25151526393 28744601592 33535368524 50303052786 67070737048 100606105572 201212211144