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212002202012202 = 23279727743625237
BaseRepresentation
bin110000001101000010011011…
…111100010100101000101010
31000210122012201222011222020100
4300031002123330110220222
5210241421002203342302
62030520244520210230
762440440125166630
oct6015023374245052
91023565658158210
10212002202012202
11616066a1171548
121b93b544609976
13913a94cc35c64
143a4cd65c45350
1519799e5477d1c
hexc0d09bf14a2a

212002202012202 has 96 divisors (see below), whose sum is σ = 530389735529472. Its totient is φ = 59945346819072.

The previous prime is 212002202012173. The next prime is 212002202012213. The reversal of 212002202012202 is 202210202200212.

212002202012202 is a `hidden beast` number, since 2 + 1 + 20 + 0 + 220 + 201 + 220 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 338762328 + ... + 339387564.

It is an arithmetic number, because the mean of its divisors is an integer number (5524893078432).

Almost surely, 2212002202012202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212002202012202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265194867764736).

212002202012202 is an abundant number, since it is smaller than the sum of its proper divisors (318387533517270).

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

212002202012202 is a wasteful number, since it uses less digits than its factorization.

212002202012202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 653092 (or 653089 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 212002202012202 its reverse (202210202200212), we get a palindrome (414212404212414).

The spelling of 212002202012202 in words is "two hundred twelve trillion, two billion, two hundred two million, twelve thousand, two hundred two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 97 126 194 291 582 679 873 1358 1746 2037 4074 6111 12222 27743 55486 83229 166458 194201 249687 388402 499374 582603 625237 1165206 1250474 1747809 1875711 2691071 3495618 3751422 4376659 5382142 5627133 8073213 8753318 11254266 13129977 16146426 18837497 24219639 26259954 37674994 39389931 48439278 56512491 60647989 78779862 113024982 121295978 169537473 181943967 339074946 363887934 424535923 545831901 849071846 1091663802 1273607769 2547215538 3820823307 7641646614 17345950091 34691900182 52037850273 104075700546 121421650637 156113550819 242843301274 312227101638 364264951911 728529903822 1092794855733 1682557158827 2185589711466 3365114317654 5047671476481 10095342952962 11777900111789 15143014429443 23555800223578 30286028858886 35333700335367 70667400670734 106001101006101 212002202012202