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211210140420 = 223251961757351
BaseRepresentation
bin1100010010110100011…
…0101111101100000100
3202012011121010211012100
43010231012233230010
511430024243443140
6241010102152100
721154661400066
oct3045506575404
9665147124170
10211210140420
1181634688664
1234b25a22630
1316bbc941566
14a318c53736
1557626c2530
hex312d1afb04

211210140420 has 72 divisors (see below), whose sum is σ = 674390283840. Its totient is φ = 53358350400.

The previous prime is 211210140397. The next prime is 211210140457. The reversal of 211210140420 is 24041012112.

211210140420 is a `hidden beast` number, since 21 + 1 + 210 + 14 + 0 + 420 = 666.

It is a super-2 number, since 2×2112101404202 (a number of 23 digits) contains 22 as substring.

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 = 211210140393 and 211210140402.

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, 30875256 + ... + 30882095.

It is an arithmetic number, because the mean of its divisors is an integer number (9366531720).

Almost surely, 2211210140420 is an apocalyptic number.

211210140420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

211210140420 is an abundant number, since it is smaller than the sum of its proper divisors (463180143420).

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

211210140420 is a wasteful number, since it uses less digits than its factorization.

211210140420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 61757385 (or 61757380 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 211210140420 its reverse (24041012112), we get a palindrome (235251152532).

The spelling of 211210140420 in words is "two hundred eleven billion, two hundred ten million, one hundred forty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 19 20 30 36 38 45 57 60 76 90 95 114 171 180 190 228 285 342 380 570 684 855 1140 1710 3420 61757351 123514702 185272053 247029404 308786755 370544106 555816159 617573510 741088212 926360265 1111632318 1173389669 1235147020 1852720530 2223264636 2346779338 2779080795 3520169007 3705441060 4693558676 5558161590 5866948345 7040338014 10560507021 11116323180 11733896690 14080676028 17600845035 21121014042 23467793380 35201690070 42242028084 52802535105 70403380140 105605070210 211210140420