Search a number
-
+
101202012112020 = 2235113149631158761
BaseRepresentation
bin10111000000101011101101…
…111110111000010010010100
3111021022211002020011112001120
4113000223231332320102110
5101231043210100041040
6555123321301523540
730213414126414141
oct2700535576702224
9437284066145046
10101202012112020
112a278594562866
12b4257651135b0
134461402558c81
141adc2bc6693c8
15ba776ae617d0
hex5c0aedfb8494

101202012112020 has 192 divisors, whose sum is σ = 288249811315200. Its totient is φ = 26526586060800.

The previous prime is 101202012111931. The next prime is 101202012112049. The reversal of 101202012112020 is 20211210202101.

101202012112020 is digitally balanced in base 4, 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 (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 637369440 + ... + 637528200.

It is an arithmetic number, because the mean of its divisors is an integer number (1501301100600).

Almost surely, 2101202012112020 is an apocalyptic number.

101202012112020 is a gapful number since it is divisible by the number (10) 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 101202012112020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144124905657600).

101202012112020 is an abundant number, since it is smaller than the sum of its proper divisors (187047799203180).

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

101202012112020 is a wasteful number, since it uses less digits than its factorization.

101202012112020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159666 (or 159664 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

Adding to 101202012112020 its reverse (20211210202101), we get a palindrome (121413222314121).

The spelling of 101202012112020 in words is "one hundred one trillion, two hundred two billion, twelve million, one hundred twelve thousand, twenty".