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202123000132020 = 22325112171673268831
BaseRepresentation
bin101101111101010001101101…
…100111111011000110110100
3222111122202210101221000110200
4231331101231213323012310
5202443040401013211040
61553514005134120500
760400622236560552
oct5575215547730664
9874582711830420
10202123000132020
1159447979269900
121a80495b950130
1388a216a439c56
1437cab3c058bd2
151857a3a5e0630
hexb7d46d9fb1b4

202123000132020 has 432 divisors, whose sum is σ = 717825151540224. Its totient is φ = 45841025894400.

The previous prime is 202123000132019. The next prime is 202123000132073. The reversal of 202123000132020 is 20231000321202.

202123000132020 is a `hidden beast` number, since 2 + 0 + 21 + 2 + 300 + 0 + 1 + 320 + 20 = 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 = 202123000131984 and 202123000132002.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 60199005 + ... + 63467835.

It is an arithmetic number, because the mean of its divisors is an integer number (1661632295232).

Almost surely, 2202123000132020 is an apocalyptic number.

202123000132020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202123000132020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358912575770112).

202123000132020 is an abundant number, since it is smaller than the sum of its proper divisors (515702151408204).

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

202123000132020 is a wasteful number, since it uses less digits than its factorization.

202123000132020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3269052 (or 3269036 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 202123000132020 its reverse (20231000321202), we get a palindrome (222354000453222).

The spelling of 202123000132020 in words is "two hundred two trillion, one hundred twenty-three billion, one hundred thirty-two thousand, twenty".