Search a number
-
+
1355301102276 = 22321123125692
BaseRepresentation
bin10011101110001110001…
…111011010001011000100
311210120021021010112002100
4103232032033122023010
5134201124040233101
62514341114112100
7166626424201662
oct23561617321304
94716237115070
101355301102276
11482864159900
1219a7bb71b630
139aa5c1bb474
144984dd59c32
15253c3d9be86
hex13b8e3da2c4

1355301102276 has 243 divisors, whose sum is σ = 3897900446349. Its totient is φ = 396750499200.

The previous prime is 1355301102157. The next prime is 1355301102289. The reversal of 1355301102276 is 6722011035531.

The square root of 1355301102276 is 1164174.

It is a perfect power (a square), and thus also a powerful number.

1355301102276 is a `hidden beast` number, since 1 + 3 + 5 + 530 + 110 + 2 + 2 + 7 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 223375335876 + 1131925766400 = 472626^2 + 1063920^2 .

It is a super-2 number, since 2×13553011022762 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 1355301102276.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 2381899720 + ... + 2381900288.

Almost surely, 21355301102276 is an apocalyptic number.

1355301102276 is the 1164174-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1355301102276

1355301102276 is an abundant number, since it is smaller than the sum of its proper divisors (2542599344073).

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

1355301102276 is a wasteful number, since it uses less digits than its factorization.

1355301102276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1232 (or 616 counting only the distinct ones).

The product of its (nonzero) digits is 37800, while the sum is 36.

Multiplying 1355301102276 by its sum of digits (36), we get a square (48790839681936 = 69850442).

1355301102276 divided by its sum of digits (36) gives a square (37647252841 = 1940292).

The spelling of 1355301102276 in words is "one trillion, three hundred fifty-five billion, three hundred one million, one hundred two thousand, two hundred seventy-six".