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200120233104 = 243211233892
BaseRepresentation
bin1011101001100000011…
…0000110110010010000
3201010112201112011022100
42322120012012302100
511234321234424404
6231533423040400
720313110625561
oct2723006066220
9633481464270
10200120233104
1177963722100
123294ba40100
1315b431c821c
14998605c168
155313cc3d39
hex2e98186c90

200120233104 has 135 divisors (see below), whose sum is σ = 615783420889. Its totient is φ = 60624600960.

The previous prime is 200120233081. The next prime is 200120233133. The reversal of 200120233104 is 401332021002.

The square root of 200120233104 is 447348.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 194258799504 + 5861433600 = 440748^2 + 76560^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 59048242 + ... + 59051630.

Almost surely, 2200120233104 is an apocalyptic number.

200120233104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

200120233104 is the 447348-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200120233104

200120233104 is an abundant number, since it is smaller than the sum of its proper divisors (415663187785).

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

200120233104 is an equidigital number, since it uses as much as digits as its factorization.

200120233104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6814 (or 3405 counting only the distinct ones).

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

Adding to 200120233104 its reverse (401332021002), we get a palindrome (601452254106).

The spelling of 200120233104 in words is "two hundred billion, one hundred twenty million, two hundred thirty-three thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 33 36 44 48 66 72 88 99 121 132 144 176 198 242 264 363 396 484 528 726 792 968 1089 1452 1584 1936 2178 2904 3389 4356 5808 6778 8712 10167 13556 17424 20334 27112 30501 37279 40668 54224 61002 74558 81336 111837 122004 149116 162672 223674 244008 298232 335511 410069 447348 488016 596464 671022 820138 894696 1230207 1342044 1640276 1789392 2460414 2684088 3280552 3690621 4920828 5368176 6561104 7381242 9841656 11485321 14762484 19683312 22970642 29524968 34455963 45941284 59049936 68911926 91882568 103367889 126338531 137823852 183765136 206735778 252677062 275647704 379015593 413471556 505354124 551295408 758031186 826943112 1010708248 1137046779 1389723841 1516062372 1653886224 2021416496 2274093558 2779447682 3032124744 4169171523 4548187116 5558895364 6064249488 8338343046 9096374232 11117790728 12507514569 16676686092 18192748464 22235581456 25015029138 33353372184 50030058276 66706744368 100060116552 200120233104