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200022101032 = 231321374012693
BaseRepresentation
bin1011101001001000111…
…1110000110000101000
3201010021212212112102011
42322102033300300220
511234121124213112
6231515555445304
720310506543335
oct2722217606050
9633255775364
10200022101032
1177913297016
1232922bb6834
1315b28a89a00
149976dd598c
15530a38caa7
hex2e923f0c28

200022101032 has 96 divisors (see below), whose sum is σ = 410246684280. Its totient is φ = 91381555200.

The previous prime is 200022100979. The next prime is 200022101033. The reversal of 200022101032 is 230101220002.

It can be written as a sum of positive squares in 12 ways, for example, as 22708681636 + 177313419396 = 150694^2 + 421086^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is not an unprimeable number, because it can be changed into a prime (200022101033) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 74273478 + ... + 74276170.

Almost surely, 2200022101032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 200022101032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205123342140).

200022101032 is an abundant number, since it is smaller than the sum of its proper divisors (210224583248).

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

200022101032 is a wasteful number, since it uses less digits than its factorization.

200022101032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3263 (or 3246 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 200022101032 its reverse (230101220002), we get a palindrome (430123321034).

The spelling of 200022101032 in words is "two hundred billion, twenty-two million, one hundred one thousand, thirty-two".

Divisors: 1 2 4 8 13 26 52 104 137 169 274 338 401 548 676 802 1096 1352 1604 1781 2693 3208 3562 5213 5386 7124 10426 10772 14248 20852 21544 23153 35009 41704 46306 54937 67769 70018 92612 109874 135538 140036 185224 219748 271076 280072 368941 439496 455117 542152 714181 737882 910234 1079893 1428362 1475764 1820468 2159786 2856724 2951528 3640936 4319572 4796233 5713448 8639144 9284353 9592466 14038609 18568706 19184932 28077218 37137412 38369864 56154436 62351029 74274824 112308872 124702058 147945341 182501917 249404116 295890682 365003834 498808232 591781364 730007668 1183562728 1460015336 1923289433 3846578866 7693157732 15386315464 25002762629 50005525258 100011050516 200022101032