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202000010012020 = 2251110757431494191
BaseRepresentation
bin101101111011011111001010…
…110101110110010101110100
3222111020000100000022120110001
4231323133022311312111310
5202434032010030341040
61553341305025041044
760356006362032253
oct5573371265662564
9874200300276401
10202000010012020
11593aa7a5582330
121a7a4b56786184
13889369991a40c
1437c4bd195c79a
15185473cd9859a
hexb7b7cad76574

202000010012020 has 96 divisors (see below), whose sum is σ = 467170197774336. Its totient is φ = 72755338550400.

The previous prime is 202000010011993. The next prime is 202000010012051. The reversal of 202000010012020 is 20210010000202.

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

It is a junction number, because it is equal to n+sod(n) for n = 202000010011988 and 202000010012006.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 134443125 + ... + 135937315.

It is an arithmetic number, because the mean of its divisors is an integer number (4866356226816).

Almost surely, 2202000010012020 is an apocalyptic number.

202000010012020 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 202000010012020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233585098887168).

202000010012020 is an abundant number, since it is smaller than the sum of its proper divisors (265170187762316).

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

202000010012020 is a wasteful number, since it uses less digits than its factorization.

202000010012020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500061 (or 1500059 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 10.

Adding to 202000010012020 its reverse (20210010000202), we get a palindrome (222210020012222).

The spelling of 202000010012020 in words is "two hundred two trillion, ten million, twelve thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 107 110 214 220 428 535 1070 1177 2140 2354 4708 5743 5885 11486 11770 22972 23540 28715 57430 63173 114860 126346 252692 315865 614501 631730 1229002 1263460 1494191 2458004 2988382 3072505 5976764 6145010 6759511 7470955 12290020 13519022 14941910 16436101 27038044 29883820 32872202 33797555 65744404 67595110 82180505 135190220 159878437 164361010 319756874 328722020 639513748 799392185 1598784370 1758662807 3197568740 3517325614 7034651228 8581138913 8793314035 17162277826 17586628070 34324555652 35173256140 42905694565 85811389130 94392528043 171622778260 188785056086 377570112172 471962640215 918181863691 943925280430 1836363727382 1887850560860 3672727454764 4590909318455 9181818636910 10100000500601 18363637273820 20200001001202 40400002002404 50500002503005 101000005006010 202000010012020