Search a number
-
+
211123212432 = 243111723520857
BaseRepresentation
bin1100010010011111101…
…1001001000010010000
3202011221112120102102020
43010213323021002100
511424340020244212
6240553315051440
721152554460526
oct3044773110220
9664845512366
10211123212432
118159a605350
1234b008a0b80
1316ba7926992
14a30b4a6316
155759c50d8c
hex3127ec9090

211123212432 has 80 divisors (see below), whose sum is σ = 629982660672. Its totient is φ = 60213391360.

The previous prime is 211123212383. The next prime is 211123212463. The reversal of 211123212432 is 234212321112.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

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, 11751453 + ... + 11769404.

Almost surely, 2211123212432 is an apocalyptic number.

211123212432 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

211123212432 is an abundant number, since it is smaller than the sum of its proper divisors (418859448240).

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

211123212432 is a wasteful number, since it uses less digits than its factorization.

211123212432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23520896 (or 23520890 counting only the distinct ones).

The product of its digits is 1152, while the sum is 24.

Adding to 211123212432 its reverse (234212321112), we get a palindrome (445335533544).

The spelling of 211123212432 in words is "two hundred eleven billion, one hundred twenty-three million, two hundred twelve thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 33 34 44 48 51 66 68 88 102 132 136 176 187 204 264 272 374 408 528 561 748 816 1122 1496 2244 2992 4488 8976 23520857 47041714 70562571 94083428 141125142 188166856 258729427 282250284 376333712 399854569 517458854 564500568 776188281 799709138 1034917708 1129001136 1199563707 1552376562 1599418276 2069835416 2399127414 3104753124 3198836552 4139670832 4398400259 4798254828 6209506248 6397673104 8796800518 9596509656 12419012496 13195200777 17593601036 19193019312 26390401554 35187202072 52780803108 70374404144 105561606216 211123212432