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202101993 = 3319393961
BaseRepresentation
bin11000000101111…
…01010011101001
3112002021211211000
430002331103221
5403214230433
632015425213
75002560432
oct1402752351
9462254730
10202101993
11a4099245
1257825209
1332b41ca2
141cbac489
1512b22113
hexc0bd4e9

202101993 has 16 divisors (see below), whose sum is σ = 315169600. Its totient is φ = 127643040.

The previous prime is 202101979. The next prime is 202102003. The reversal of 202101993 is 399101202.

202101993 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 202101993 - 28 = 202101737 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (202101293) 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, 196468 + ... + 197493.

It is an arithmetic number, because the mean of its divisors is an integer number (19698100).

Almost surely, 2202101993 is an apocalyptic number.

It is an amenable number.

202101993 is a deficient number, since it is larger than the sum of its proper divisors (113067607).

202101993 is a wasteful number, since it uses less digits than its factorization.

202101993 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393989 (or 393983 counting only the distinct ones).

The product of its (nonzero) digits is 972, while the sum is 27.

The square root of 202101993 is about 14216.2580519629. The cubic root of 202101993 is about 586.8451667510.

The spelling of 202101993 in words is "two hundred two million, one hundred one thousand, nine hundred ninety-three".

Divisors: 1 3 9 19 27 57 171 513 393961 1181883 3545649 7485259 10636947 22455777 67367331 202101993