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202011200020212 = 2231110388031687849
BaseRepresentation
bin101101111011101001100101…
…110100010101111011110100
3222111021002012212021212220220
4231323221211310111323310
5202434222414201121322
61553350355241454340
760356553566365662
oct5573514564257364
9874232185255826
10202011200020212
1159404517a99090
121a7a715a1a13b0
13889476101113b
1437c5573b6dc32
151854b9546b55c
hexb7ba65d15ef4

202011200020212 has 96 divisors (see below), whose sum is σ = 519261948441600. Its totient is φ = 60614267431680.

The previous prime is 202011200020211. The next prime is 202011200020243. The reversal of 202011200020212 is 212020002110202.

It is a super-2 number, since 2×2020112000202122 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 202011200020191 and 202011200020200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202011200020211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118841664 + ... + 120529512.

It is an arithmetic number, because the mean of its divisors is an integer number (5408978629600).

Almost surely, 2202011200020212 is an apocalyptic number.

202011200020212 is a gapful number since it is divisible by the number (22) 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 202011200020212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259630974220800).

202011200020212 is an abundant number, since it is smaller than the sum of its proper divisors (317250748421388).

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

202011200020212 is a wasteful number, since it uses less digits than its factorization.

202011200020212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1696773 (or 1696771 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202011200020212 its reverse (212020002110202), we get a palindrome (414031202130414).

The spelling of 202011200020212 in words is "two hundred two trillion, eleven billion, two hundred million, twenty thousand, two hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 103 132 206 309 412 618 1133 1236 2266 3399 4532 6798 8803 13596 17606 26409 35212 52818 96833 105636 193666 290499 387332 580998 906709 1161996 1687849 1813418 2720127 3375698 3626836 5063547 5440254 6751396 9973799 10127094 10880508 18566339 19947598 20254188 29921397 37132678 39895196 55699017 59842794 74265356 111398034 119685588 173848447 222796068 347696894 521545341 695393788 1043090682 1912332917 2086181364 3824665834 5736998751 7649331668 11473997502 14858134747 22947995004 29716269494 44574404241 59432538988 89148808482 163439482217 178297616964 326878964434 490318446651 653757928868 980636893302 1530387878941 1961273786604 3060775757882 4591163636823 6121551515764 9182327273646 16834266668351 18364654547292 33668533336702 50502800005053 67337066673404 101005600010106 202011200020212