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200151122100 = 223522359491651
BaseRepresentation
bin1011101001100111101…
…1111100000010110100
3201010121212122111001020
42322121323330002310
511234402141401400
6231540445101140
720313634316136
oct2723173740264
9633555574036
10200151122100
117797a0aa4a6
123295a2577b0
1315b49721a37
14998a1bd056
1553168762a0
hex2e99efc0b4

200151122100 has 144 divisors (see below), whose sum is σ = 614525667840. Its totient is φ = 50187632000.

The previous prime is 200151122069. The next prime is 200151122113. The reversal of 200151122100 is 1221151002.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 200151122100.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 161275 + ... + 652925.

It is an arithmetic number, because the mean of its divisors is an integer number (4267539360).

Almost surely, 2200151122100 is an apocalyptic number.

200151122100 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 200151122100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307262833920).

200151122100 is an abundant number, since it is smaller than the sum of its proper divisors (414374545740).

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

200151122100 is a wasteful number, since it uses less digits than its factorization.

200151122100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 491750 (or 491743 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 15.

Adding to 200151122100 its reverse (1221151002), we get a palindrome (201372273102).

The spelling of 200151122100 in words is "two hundred billion, one hundred fifty-one million, one hundred twenty-two thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 59 60 69 75 92 100 115 118 138 150 177 230 236 276 295 300 345 354 460 575 590 690 708 885 1150 1180 1357 1380 1475 1725 1770 2300 2714 2950 3450 3540 4071 4425 5428 5900 6785 6900 8142 8850 13570 16284 17700 20355 27140 33925 40710 67850 81420 101775 135700 203550 407100 491651 983302 1474953 1966604 2458255 2949906 4916510 5899812 7374765 9833020 11307973 12291275 14749530 22615946 24582550 29007409 29499060 33923919 36873825 45231892 49165100 56539865 58014818 67847838 73747650 87022227 113079730 116029636 135695676 145037045 147495300 169619595 174044454 226159460 282699325 290074090 339239190 348088908 435111135 565398650 580148180 667170407 678478380 725185225 848097975 870222270 1130797300 1334340814 1450370450 1696195950 1740444540 2001511221 2175555675 2668681628 2900740900 3335852035 3392391900 4003022442 4351111350 6671704070 8006044884 8702222700 10007556105 13343408140 16679260175 20015112210 33358520350 40030224420 50037780525 66717040700 100075561050 200151122100