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200044502120 = 235291271399769
BaseRepresentation
bin1011101001001110010…
…1001101110001101000
3201010100110000121221002
42322103211031301220
511234142343031440
6231522115534132
720311201132541
oct2722345156150
9633313017832
10200044502120
11779249a7311
123292a5ba348
1315b30600ca8
149979d874c8
15530c315115
hex2e9394dc68

200044502120 has 128 divisors (see below), whose sum is σ = 472711680000. Its totient is φ = 76091000832.

The previous prime is 200044502117. The next prime is 200044502137. The reversal of 200044502120 is 21205440002.

It is a happy number.

200044502120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 200044502092 and 200044502101.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20472596 + ... + 20482364.

It is an arithmetic number, because the mean of its divisors is an integer number (3693060000).

Almost surely, 2200044502120 is an apocalyptic number.

200044502120 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 200044502120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236355840000).

200044502120 is an abundant number, since it is smaller than the sum of its proper divisors (272667177880).

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

200044502120 is a wasteful number, since it uses less digits than its factorization.

200044502120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10075 (or 10071 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 20.

Adding to 200044502120 its reverse (21205440002), we get a palindrome (221249942122).

The spelling of 200044502120 in words is "two hundred billion, forty-four million, five hundred two thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 127 139 145 232 254 278 290 508 556 580 635 695 1016 1112 1160 1270 1390 2540 2780 3683 4031 5080 5560 7366 8062 9769 14732 16124 17653 18415 19538 20155 29464 32248 35306 36830 39076 40310 48845 70612 73660 78152 80620 88265 97690 141224 147320 161240 176530 195380 283301 353060 390760 511937 566602 706120 1023874 1133204 1240663 1357891 1416505 2047748 2266408 2481326 2559685 2715782 2833010 4095496 4962652 5119370 5431564 5666020 6203315 6789455 9925304 10238740 10863128 11332040 12406630 13578910 20477480 24813260 27157820 35979227 39378839 49626520 54315640 71958454 78757678 143916908 157515356 172452157 179896135 196894195 287833816 315030712 344904314 359792270 393788390 689808628 719584540 787576780 862260785 1379617256 1439169080 1575153560 1724521570 3449043140 5001112553 6898086280 10002225106 20004450212 25005562765 40008900424 50011125530 100022251060 200044502120