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212000400402 = 23773274925153
BaseRepresentation
bin1100010101110000110…
…1010110010000010010
3202021012200011012002120
43011130031112100102
511433134100303102
6241220332155110
721213365446050
oct3053415262022
9667180135076
10212000400402
11819aa77668a
1235106608a96
1316cb759400b
14a391ba51d0
1557abc736bc
hex315c356412

212000400402 has 64 divisors (see below), whose sum is σ = 491408544000. Its totient is φ = 59717689344.

The previous prime is 212000400401. The next prime is 212000400457. The reversal of 212000400402 is 204004000212.

212000400402 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (212000400401) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8415858 + ... + 8441010.

It is an arithmetic number, because the mean of its divisors is an integer number (7678258500).

Almost surely, 2212000400402 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212000400402, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245704272000).

212000400402 is an abundant number, since it is smaller than the sum of its proper divisors (279408143598).

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

212000400402 is a wasteful number, since it uses less digits than its factorization.

212000400402 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27987.

The product of its (nonzero) digits is 128, while the sum is 15.

Adding to 212000400402 its reverse (204004000212), we get a palindrome (416004400614).

The spelling of 212000400402 in words is "two hundred twelve billion, four hundred thousand, four hundred two".

Divisors: 1 2 3 6 7 14 21 42 73 146 219 438 511 1022 1533 2749 3066 5498 8247 16494 19243 25153 38486 50306 57729 75459 115458 150918 176071 200677 352142 401354 528213 602031 1056426 1204062 1404739 1836169 2809478 3672338 4214217 5508507 8428434 11017014 12853183 25706366 38559549 69145597 77119098 138291194 207436791 414873582 484019179 968038358 1452057537 2904115074 5047628581 10095257162 15142885743 30285771486 35333400067 70666800134 106000200201 212000400402