Search a number
-
+
1020212121220 = 225373659207523
BaseRepresentation
bin11101101100010010110…
…00011000111010000100
310121112100100002120100021
432312021120120322010
5113203343300334340
62100402354224524
7133464543643105
oct16661130307204
93545310076307
101020212121220
11363740166806
12145882b85144
13752898b2996
14375429883ac
151b810e32e4a
hexed89618e84

1020212121220 has 48 divisors (see below), whose sum is σ = 2151459414720. Its totient is φ = 406371240576.

The previous prime is 1020212121167. The next prime is 1020212121221. The reversal of 1020212121220 is 221212120201.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1020212121194 and 1020212121203.

It is not an unprimeable number, because it can be changed into a prime (1020212121221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4812379 + ... + 5019901.

It is an arithmetic number, because the mean of its divisors is an integer number (44822071140).

Almost surely, 21020212121220 is an apocalyptic number.

1020212121220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1020212121220 is an abundant number, since it is smaller than the sum of its proper divisors (1131247293500).

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

1020212121220 is a wasteful number, since it uses less digits than its factorization.

1020212121220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 208564 (or 208562 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 1020212121220 its reverse (221212120201), we get a palindrome (1241424241421).

The spelling of 1020212121220 in words is "one trillion, twenty billion, two hundred twelve million, one hundred twenty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 373 659 746 1318 1492 1865 2636 3295 3730 6590 7460 13180 207523 245807 415046 491614 830092 983228 1037615 1229035 2075230 2458070 4150460 4916140 77406079 136757657 154812158 273515314 309624316 387030395 547030628 683788285 774060790 1367576570 1548121580 2735153140 51010606061 102021212122 204042424244 255053030305 510106060610 1020212121220