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202000102220200 = 235253181105285157
BaseRepresentation
bin101101111011011111010000…
…010101100110000110101000
3222111020000120102211020021211
4231323133100111212012220
5202434032202132021300
61553341322121242504
760356011561552624
oct5573372025460650
9874200512736254
10202000102220200
11593aa842631739
121a7a4b81633434
1388936b2a6347b
1437c4bddcc2184
15185474600e4ba
hexb7b7d05661a8

202000102220200 has 96 divisors (see below), whose sum is σ = 481155277763160. Its totient is φ = 78837524812800.

The previous prime is 202000102220167. The next prime is 202000102220221. The reversal of 202000102220200 is 2022201000202.

202000102220200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 5696632844644 + 196303469375556 = 2386762^2 + 14010834^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50723979 + ... + 54561178.

Almost surely, 2202000102220200 is an apocalyptic number.

202000102220200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202000102220200 is an abundant number, since it is smaller than the sum of its proper divisors (279155175542960).

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

202000102220200 is a wasteful number, since it uses less digits than its factorization.

202000102220200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105285407 (or 105285398 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 13.

Adding to 202000102220200 its reverse (2022201000202), we get a palindrome (204022303220402).

The spelling of 202000102220200 in words is "two hundred two trillion, one hundred two million, two hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 53 100 106 181 200 212 265 362 424 530 724 905 1060 1325 1448 1810 2120 2650 3620 4525 5300 7240 9050 9593 10600 18100 19186 36200 38372 47965 76744 95930 191860 239825 383720 479650 959300 1918600 105285157 210570314 421140628 526425785 842281256 1052851570 2105703140 2632128925 4211406280 5264257850 5580113321 10528515700 11160226642 19056613417 21057031400 22320453284 27900566605 38113226834 44640906568 55801133210 76226453668 95283067085 111602266420 139502833025 152452907336 190566134170 223204532840 279005666050 381132268340 476415335425 558011332100 762264536680 952830670850 1010000511101 1116022664200 1905661341700 2020001022202 3811322683400 4040002044404 5050002555505 8080004088808 10100005111010 20200010222020 25250012777525 40400020444040 50500025555050 101000051110100 202000102220200