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211204020420 = 223251950160169
BaseRepresentation
bin1100010010110010111…
…1011001100011000100
3202012011011121220010200
43010230233121203010
511430021212123140
6241005323050500
721154555360401
oct3045457314304
9665134556120
10211204020420
1181631188608
1234b23970a30
1316bbb5aaa63
14a3180dd2a8
155761db4030
hex312cbd98c4

211204020420 has 72 divisors (see below), whose sum is σ = 640695695640. Its totient is φ = 56317248000.

The previous prime is 211204020389. The next prime is 211204020497. The reversal of 211204020420 is 24020402112.

211204020420 is a `hidden beast` number, since 21 + 1 + 204 + 0 + 20 + 420 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 84405356676 + 126798663744 = 290526^2 + 356088^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 211204020393 and 211204020402.

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, 3480096 + ... + 3540264.

Almost surely, 2211204020420 is an apocalyptic number.

211204020420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211204020420 is an abundant number, since it is smaller than the sum of its proper divisors (429491675220).

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

211204020420 is a wasteful number, since it uses less digits than its factorization.

211204020420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79685 (or 79680 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 211204020420 its reverse (24020402112), we get a palindrome (235224422532).

The spelling of 211204020420 in words is "two hundred eleven billion, two hundred four million, twenty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 19501 39002 58503 60169 78004 97505 117006 120338 175509 180507 195010 234012 240676 292515 300845 351018 361014 390020 541521 585030 601690 702036 722028 877545 902535 1083042 1170060 1203380 1755090 1805070 2166084 2707605 3510180 3610140 5415210 10830420 1173355669 2346711338 3520067007 4693422676 5866778345 7040134014 10560201021 11733556690 14080268028 17600335035 21120402042 23467113380 35200670070 42240804084 52801005105 70401340140 105602010210 211204020420