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2303200033020 = 2232544346376229
BaseRepresentation
bin100001100001000001011…
…010110111100011111100
322011011221222012101202200
4201201001122313203330
5300213423202024040
64522024145551500
7325254305155635
oct41410132674374
98134858171680
102303200033020
11808866413277
12312461045590
13139263343833
147d6929c888c
153eda1594630
hex218416b78fc

2303200033020 has 144 divisors (see below), whose sum is σ = 7004778449760. Its totient is φ = 612569737728.

The previous prime is 2303200033003. The next prime is 2303200033027. The reversal of 2303200033020 is 203300023032.

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 = 2303200032984 and 2303200033002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2303200033027) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 369751266 + ... + 369757494.

It is an arithmetic number, because the mean of its divisors is an integer number (48644294790).

Almost surely, 22303200033020 is an apocalyptic number.

2303200033020 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 2303200033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3502389224880).

2303200033020 is an abundant number, since it is smaller than the sum of its proper divisors (4701578416740).

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

2303200033020 is a wasteful number, since it uses less digits than its factorization.

2303200033020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11324 (or 11319 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

Adding to 2303200033020 its reverse (203300023032), we get a palindrome (2506500056052).

The spelling of 2303200033020 in words is "two trillion, three hundred three billion, two hundred million, thirty-three thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 443 886 1329 1772 2215 2658 3987 4430 4637 5316 6229 6645 7974 8860 9274 12458 13290 13911 15948 18548 18687 19935 23185 24916 26580 27822 31145 37374 39870 41733 46370 55644 56061 62290 69555 74748 79740 83466 92740 93435 112122 124580 139110 166932 186870 208665 224244 278220 280305 373740 417330 560610 834660 1121220 2054191 2759447 4108382 5518894 6162573 8216764 8278341 10270955 11037788 12325146 13797235 16556682 18487719 20541910 24650292 24835023 27594470 28883873 30812865 33113364 36975438 41083820 41391705 49670046 55188940 57767746 61625730 73950876 82783410 86651619 92438595 99340092 115535492 123251460 124175115 144419365 165566820 173303238 184877190 248350230 259954857 288838730 346606476 369754380 433258095 496700460 519909714 577677460 866516190 1039819428 1299774285 1733032380 2599548570 5199097140 12795555739 25591111478 38386667217 51182222956 63977778695 76773334434 115160001651 127955557390 153546668868 191933336085 230320003302 255911114780 383866672170 460640006604 575800008255 767733344340 1151600016510 2303200033020