Search a number
-
+
312212101002090 = 235531579124357069
BaseRepresentation
bin100011011111101001000101…
…1010111111111001101101010
31111221110012000010110222022120
41012333102023113333031222
5311410240340324031330
63024004131550532110
7122522402625331062
oct10677221327771552
91457405003428276
10312212101002090
11905314547324a3
122b024968b07036
1310529623180023
1457152096c63a2
152616547275c10
hex11bf48b5ff36a

312212101002090 has 64 divisors (see below), whose sum is σ = 763930455292800. Its totient is φ = 81633948574464.

The previous prime is 312212101002089. The next prime is 312212101002163. The reversal of 312212101002090 is 90200101212213.

It is a self number, because there is not a number n which added to its sum of digits gives 312212101002090.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59667925 + ... + 64689144.

It is an arithmetic number, because the mean of its divisors is an integer number (11936413363950).

Almost surely, 2312212101002090 is an apocalyptic number.

312212101002090 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

312212101002090 is an abundant number, since it is smaller than the sum of its proper divisors (451718354290710).

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

312212101002090 is a wasteful number, since it uses less digits than its factorization.

312212101002090 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124358711.

The product of its (nonzero) digits is 432, while the sum is 24.

The spelling of 312212101002090 in words is "three hundred twelve trillion, two hundred twelve billion, one hundred one million, two thousand, ninety".

Divisors: 1 2 3 5 6 10 15 30 53 106 159 265 318 530 795 1579 1590 3158 4737 7895 9474 15790 23685 47370 83687 167374 251061 418435 502122 836870 1255305 2510610 124357069 248714138 373071207 621785345 746142414 1243570690 1865356035 3730712070 6590924657 13181849314 19772773971 32954623285 39545547942 65909246570 98863869855 196359811951 197727739710 392719623902 589079435853 981799059755 1178158871706 1963598119510 2945397179265 5890794358530 10407070033403 20814140066806 31221210100209 52035350167015 62442420200418 104070700334030 156106050501045 312212101002090