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120022200222002 = 2133412512654263
BaseRepresentation
bin11011010010100011011000…
…100111000000000100110010
3120201222000021111102011100222
4123102203120213000010302
5111212420431224101002
61103133234304413042
734165214003023361
oct3322433047000462
9521860244364328
10120022200222002
1135274147064621
1211565134017182
1351c80778b3000
14218d16964d7d8
15dd20bd6341a2
hex6d28d89c0132

120022200222002 has 64 divisors (see below), whose sum is σ = 200582093456640. Its totient is φ = 53828433360000.

The previous prime is 120022200221969. The next prime is 120022200222031. The reversal of 120022200222002 is 200222002220021.

120022200222002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1200222002220022 (a number of 29 digits) contains 22 as substring.

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 31 ways as a sum of consecutive naturals, for example, 43891523 + ... + 46545785.

It is an arithmetic number, because the mean of its divisors is an integer number (3134095210260).

Almost surely, 2120022200222002 is an apocalyptic number.

120022200222002 is a deficient number, since it is larger than the sum of its proper divisors (80559893234638).

120022200222002 is a wasteful number, since it uses less digits than its factorization.

120022200222002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2654596 (or 2654570 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 17.

Adding to 120022200222002 its reverse (200222002220021), we get a palindrome (320244202442023).

The spelling of 120022200222002 in words is "one hundred twenty trillion, twenty-two billion, two hundred million, two hundred twenty-two thousand, two".

Divisors: 1 2 13 26 41 82 169 251 338 502 533 1066 2197 3263 4394 6526 6929 10291 13858 20582 42419 84838 90077 133783 180154 267566 551447 1102894 1739179 2654263 3478358 5308526 22609327 34505419 45218654 69010838 108824783 217649566 448570447 666220013 897140894 1332440026 1414722179 2829444358 5831415811 8660860169 11662831622 17321720338 18391388327 27315020533 36782776654 54630041066 112591182197 225182364394 239088048251 355095266929 478176096502 710190533858 1463685368561 2927370737122 4616238470077 9232476940154 60011100111001 120022200222002