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203114121144 = 233113124818441
BaseRepresentation
bin1011110100101010001…
…0111000011110111000
3201102021101001102121120
42331022202320132320
511311434203334034
6233150452305240
720450233354254
oct2751242703670
9642241042546
10203114121144
117915a698540
1233446612220
13161cc54c7cc
149b8b913264
15543ba5bc49
hex2f4a8b87b8

203114121144 has 64 divisors (see below), whose sum is σ = 571816903680. Its totient is φ = 59564256000.

The previous prime is 203114121139. The next prime is 203114121277. The reversal of 203114121144 is 441121411302.

It is a happy number.

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

It is a congruent number.

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, 12401037 + ... + 12417404.

It is an arithmetic number, because the mean of its divisors is an integer number (8934639120).

Almost surely, 2203114121144 is an apocalyptic number.

203114121144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

203114121144 is an abundant number, since it is smaller than the sum of its proper divisors (368702782536).

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

203114121144 is a wasteful number, since it uses less digits than its factorization.

203114121144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24818492 (or 24818488 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 24.

Adding to 203114121144 its reverse (441121411302), we get a palindrome (644235532446).

The spelling of 203114121144 in words is "two hundred three billion, one hundred fourteen million, one hundred twenty-one thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 31 33 44 62 66 88 93 124 132 186 248 264 341 372 682 744 1023 1364 2046 2728 4092 8184 24818441 49636882 74455323 99273764 148910646 198547528 273002851 297821292 546005702 595642584 769371671 819008553 1092011404 1538743342 1638017106 2184022808 2308115013 3077486684 3276034212 4616230026 6154973368 6552068424 8463088381 9232460052 16926176762 18464920104 25389265143 33852353524 50778530286 67704707048 101557060572 203114121144