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202001122102122 = 232710115873104047
BaseRepresentation
bin101101111011100000001101…
…001000001000101101101010
3222111020010012111220121021100
4231323200031020020231222
5202434041244224231442
61553342011233022230
760356046054451410
oct5573401510105552
9874203174817240
10202001122102122
11594002162a5062
121a7a52070b4976
1388938161420b5
1437c4c995272b0
1518547a581b84c
hexb7b80d208b6a

202001122102122 has 48 divisors (see below), whose sum is σ = 505145663223552. Its totient is φ = 57143174565600.

The previous prime is 202001122102061. The next prime is 202001122102141. The reversal of 202001122102122 is 221201221100202.

It is a happy number.

202001122102122 is a `hidden beast` number, since 20 + 200 + 11 + 221 + 0 + 212 + 2 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 202001122102095 and 202001122102104.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7936539298 + ... + 7936564749.

It is an arithmetic number, because the mean of its divisors is an integer number (10523867983824).

Almost surely, 2202001122102122 is an apocalyptic number.

202001122102122 is an abundant number, since it is smaller than the sum of its proper divisors (303144541121430).

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

202001122102122 is a wasteful number, since it uses less digits than its factorization.

202001122102122 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15873104163 (or 15873104160 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 202001122102122 its reverse (221201221100202), we get a palindrome (423202343202324).

The spelling of 202001122102122 in words is "two hundred two trillion, one billion, one hundred twenty-two million, one hundred two thousand, one hundred twenty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 101 126 202 303 606 707 909 1414 1818 2121 4242 6363 12726 15873104047 31746208094 47619312141 95238624282 111111728329 142857936423 222223456658 285715872846 333335184987 666670369974 1000005554961 1603183508747 2000011109922 3206367017494 4809550526241 9619101052482 11222284561229 14428651578723 22444569122458 28857303157446 33666853683687 67333707367374 101000561051061 202001122102122