Search a number
-
+
211000202121020 = 225131664948744023
BaseRepresentation
bin101111111110011101010000…
…000110000100111100111100
31000200002102101212121112210112
4233332131100012010330330
5210124011403220333040
62024432053225125152
762305155464511224
oct5776352006047474
91020072355545715
10211000202121020
116125a757373824
121b7b93049297b8
139097306530770
143a1666dd71084
15195d8ed371365
hexbfe750184f3c

211000202121020 has 48 divisors (see below), whose sum is σ = 477213743764800. Its totient is φ = 77903085912576.

The previous prime is 211000202120999. The next prime is 211000202121031. The reversal of 211000202121020 is 20121202000112.

It is a super-2 number, since 2×2110002021210202 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 211000202120986 and 211000202121004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20043272 + ... + 28700751.

It is an arithmetic number, because the mean of its divisors is an integer number (9941952995100).

Almost surely, 2211000202121020 is an apocalyptic number.

211000202121020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211000202121020 is an abundant number, since it is smaller than the sum of its proper divisors (266213541643780).

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

211000202121020 is a wasteful number, since it uses less digits than its factorization.

211000202121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48760694 (or 48760692 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 211000202121020 its reverse (20121202000112), we get a palindrome (231121404121132).

The spelling of 211000202121020 in words is "two hundred eleven trillion, two hundred two million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 16649 33298 66596 83245 166490 216437 332980 432874 865748 1082185 2164370 4328740 48744023 97488046 194976092 243720115 487440230 633672299 974880460 1267344598 2534689196 3168361495 6336722990 12673445980 811539238927 1623078477854 3246156955708 4057696194635 8115392389270 10550010106051 16230784778540 21100020212102 42200040424204 52750050530255 105500101060510 211000202121020