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203413020120 = 233351597117937
BaseRepresentation
bin1011110101110001011…
…1000101110111011000
3201110001012111001221000
42331130113011313120
511313042213120440
6233240250545000
720460523066662
oct2753427056730
9643035431830
10203413020120
11792a338a792
123350a738160
13162494533cb
149bb94bb532
155457dee730
hex2f5c5c5dd8

203413020120 has 128 divisors (see below), whose sum is σ = 678473726400. Its totient is φ = 54209046528.

The previous prime is 203413020101. The next prime is 203413020121. The reversal of 203413020120 is 21020314302.

203413020120 is a `hidden beast` number, since 2 + 0 + 341 + 302 + 0 + 1 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 203413020093 and 203413020102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (203413020121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1665792 + ... + 1783728.

Almost surely, 2203413020120 is an apocalyptic number.

203413020120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 203413020120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339236863200).

203413020120 is an abundant number, since it is smaller than the sum of its proper divisors (475060706280).

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

203413020120 is a wasteful number, since it uses less digits than its factorization.

203413020120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119554 (or 119544 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 203413020120 its reverse (21020314302), we get a palindrome (224433334422).

The spelling of 203413020120 in words is "two hundred three billion, four hundred thirteen million, twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 216 270 360 540 1080 1597 3194 4791 6388 7985 9582 12776 14373 15970 19164 23955 28746 31940 38328 43119 47910 57492 63880 71865 86238 95820 114984 117937 143730 172476 191640 215595 235874 287460 344952 353811 431190 471748 574920 589685 707622 862380 943496 1061433 1179370 1415244 1724760 1769055 2122866 2358740 2830488 3184299 3538110 4245732 4717480 5307165 6368598 7076220 8491464 10614330 12737196 14152440 15921495 21228660 25474392 31842990 42457320 63685980 127371960 188345389 376690778 565036167 753381556 941726945 1130072334 1506763112 1695108501 1883453890 2260144668 2825180835 3390217002 3766907780 4520289336 5085325503 5650361670 6780434004 7533815560 8475542505 10170651006 11300723340 13560868008 16951085010 20341302012 22601446680 25426627515 33902170020 40682604024 50853255030 67804340040 101706510060 203413020120