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1201210100200 = 235211262577933
BaseRepresentation
bin10001011110101101101…
…100111000100111101000
311020211112101201120101101
4101132231230320213220
5124140034241201300
62315454525131144
7152533051245655
oct21365554704750
94224471646341
101201210100200
11423480871300
121749769b9ab4
1389373207526
14421d3126c2c
15213a606db6a
hex117adb389e8

1201210100200 has 144 divisors (see below), whose sum is σ = 3070664363340. Its totient is φ = 436678809600.

The previous prime is 1201210100171. The next prime is 1201210100213. The reversal of 1201210100200 is 20010121021.

It can be written as a sum of positive squares in 6 ways, for example, as 707048903044 + 494161197156 = 840862^2 + 702966^2 .

It is a Harshad number since it is a multiple of its sum of digits (10).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 151415434 + ... + 151423366.

Almost surely, 21201210100200 is an apocalyptic number.

1201210100200 is a gapful number since it is divisible by the number (10) 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 1201210100200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1535332181670).

1201210100200 is an abundant number, since it is smaller than the sum of its proper divisors (1869454263140).

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

1201210100200 is a wasteful number, since it uses less digits than its factorization.

1201210100200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14228 (or 14208 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1201210100200 its reverse (20010121021), we get a palindrome (1221220221221).

The spelling of 1201210100200 in words is "one trillion, two hundred one billion, two hundred ten million, one hundred thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 440 484 550 605 968 1100 1210 2200 2420 3025 4840 6050 6257 7933 12100 12514 15866 24200 25028 31285 31732 39665 50056 62570 63464 68827 79330 87263 125140 137654 156425 158660 174526 198325 250280 275308 312850 317320 344135 349052 396650 436315 550616 625700 688270 698104 757097 793300 872630 959893 1251400 1376540 1514194 1586600 1720675 1745260 1919786 2181575 2753080 3028388 3441350 3490520 3785485 3839572 4363150 4799465 6056776 6882700 7570970 7679144 8726300 9598930 13765400 15141940 17452600 18927425 19197860 23997325 30283880 37854850 38395720 47994650 49636781 75709700 95989300 99273562 151419400 191978600 198547124 248183905 397094248 496367810 546004591 992735620 1092009182 1240919525 1985471240 2184018364 2481839050 2730022955 4368036728 4963678100 5460045910 6006050501 9927356200 10920091820 12012101002 13650114775 21840183640 24024202004 27300229550 30030252505 48048404008 54600459100 60060505010 109200918200 120121010020 150151262525 240242020040 300302525050 600605050100 1201210100200