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203313408240 = 24353127327071
BaseRepresentation
bin1011110101011001101…
…1000110100011110000
3201102210021001021010010
42331112123012203300
511312341213030430
6233222331534520
720455203312225
oct2752633064360
9642707037103
10203313408240
1179252133918
12334a12ba440
1316231917477
149baa18b94c
15544e2c4cb0
hex2f566c68f0

203313408240 has 80 divisors (see below), whose sum is σ = 650602930176. Its totient is φ = 52467974400.

The previous prime is 203313408239. The next prime is 203313408253. The reversal of 203313408240 is 42804313302.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 203313408198 and 203313408207.

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, 13656096 + ... + 13670975.

Almost surely, 2203313408240 is an apocalyptic number.

203313408240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

203313408240 is an abundant number, since it is smaller than the sum of its proper divisors (447289521936).

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

203313408240 is a wasteful number, since it uses less digits than its factorization.

203313408240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27327118 (or 27327112 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 30.

The spelling of 203313408240 in words is "two hundred three billion, three hundred thirteen million, four hundred eight thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 155 186 240 248 310 372 465 496 620 744 930 1240 1488 1860 2480 3720 7440 27327071 54654142 81981213 109308284 136635355 163962426 218616568 273270710 327924852 409906065 437233136 546541420 655849704 819812130 847139201 1093082840 1311699408 1639624260 1694278402 2186165680 2541417603 3279248520 3388556804 4235696005 5082835206 6558497040 6777113608 8471392010 10165670412 12707088015 13554227216 16942784020 20331340824 25414176030 33885568040 40662681648 50828352060 67771136080 101656704120 203313408240