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200101012120 = 23525719465079
BaseRepresentation
bin1011101001011011110…
…0110010001010011000
3201010111101100122002001
42322112330302022120
511234301324341440
6231531455050344
720312455352662
oct2722674621230
9633441318061
10200101012120
1177953894099
12329455109b4
1315b3c228569
149983697532
155312278b9a
hex2e96f32298

200101012120 has 32 divisors (see below), whose sum is σ = 451979157600. Its totient is φ = 79728959488.

The previous prime is 200101012109. The next prime is 200101012127. The reversal of 200101012120 is 21210101002.

200101012120 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a junction number, because it is equal to n+sod(n) for n = 200101012097 and 200101012106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200101012127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9722260 + ... + 9742819.

It is an arithmetic number, because the mean of its divisors is an integer number (14124348675).

Almost surely, 2200101012120 is an apocalyptic number.

200101012120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

200101012120 is an abundant number, since it is smaller than the sum of its proper divisors (251878145480).

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

200101012120 is a wasteful number, since it uses less digits than its factorization.

200101012120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19465347 (or 19465343 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 200101012120 its reverse (21210101002), we get a palindrome (221311113122).

The spelling of 200101012120 in words is "two hundred billion, one hundred one million, twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 257 514 1028 1285 2056 2570 5140 10280 19465079 38930158 77860316 97325395 155720632 194650790 389301580 778603160 5002525303 10005050606 20010101212 25012626515 40020202424 50025253030 100050506060 200101012120