Search a number
-
+
100121232020 = 2255006061601
BaseRepresentation
bin101110100111110110…
…0001100001010010100
3100120102121202120022112
41131033230030022110
53120022013411040
6113554533250152
710143045300425
oct1351754141224
9316377676275
10100121232020
1139508909557
12174a2493958
139597978374
144bbb1bb64c
15290ebd5365
hex174fb0c294

100121232020 has 12 divisors (see below), whose sum is σ = 210254587284. Its totient is φ = 40048492800.

The previous prime is 100121231971. The next prime is 100121232023. The reversal of 100121232020 is 20232121001.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 44890591876 + 55230640144 = 211874^2 + 235012^2 .

It is a super-2 number, since 2×1001212320202 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100121231986 and 100121232004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100121232023) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2503030781 + ... + 2503030820.

It is an arithmetic number, because the mean of its divisors is an integer number (17521215607).

Almost surely, 2100121232020 is an apocalyptic number.

100121232020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100121232020 is an abundant number, since it is smaller than the sum of its proper divisors (110133355264).

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

100121232020 is a wasteful number, since it uses less digits than its factorization.

100121232020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5006061610 (or 5006061608 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 100121232020 its reverse (20232121001), we get a palindrome (120353353021).

The spelling of 100121232020 in words is "one hundred billion, one hundred twenty-one million, two hundred thirty-two thousand, twenty".

Divisors: 1 2 4 5 10 20 5006061601 10012123202 20024246404 25030308005 50060616010 100121232020