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210212141232 = 24359456716253
BaseRepresentation
bin1100001111000110011…
…1101011100010110000
3202002121001020012200110
43003301213223202300
511421003302004412
6240323051421320
721121152501342
oct3036147534260
9662531205613
10210212141232
1181172301045
12348a7754840
1316a90c54cb2
14a2624a7292
155704c88d3c
hex30f19eb8b0

210212141232 has 80 divisors (see below), whose sum is σ = 552407143680. Its totient is φ = 68863754496.

The previous prime is 210212141197. The next prime is 210212141267. The reversal of 210212141232 is 232141212012.

It is a happy number.

210212141232 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (210212141197) and next prime (210212141267).

It is a junction number, because it is equal to n+sod(n) for n = 210212141199 and 210212141208.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12925618 + ... + 12941870.

It is an arithmetic number, because the mean of its divisors is an integer number (6905089296).

Almost surely, 2210212141232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 210212141232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (276203571840).

210212141232 is an abundant number, since it is smaller than the sum of its proper divisors (342195002448).

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

210212141232 is a wasteful number, since it uses less digits than its factorization.

210212141232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20890 (or 20884 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

Adding to 210212141232 its reverse (232141212012), we get a palindrome (442353353244).

The spelling of 210212141232 in words is "two hundred ten billion, two hundred twelve million, one hundred forty-one thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 59 118 177 236 354 472 708 944 1416 2832 4567 9134 13701 16253 18268 27402 32506 36536 48759 54804 65012 73072 97518 109608 130024 195036 219216 260048 269453 390072 538906 780144 808359 958927 1077812 1616718 1917854 2155624 2876781 3233436 3835708 4311248 5753562 6466872 7671416 11507124 12933744 15342832 23014248 46028496 74227451 148454902 222682353 296909804 445364706 593819608 890729412 1187639216 1781458824 3562917648 4379419609 8758839218 13138258827 17517678436 26276517654 35035356872 52553035308 70070713744 105106070616 210212141232