Search a number
-
+
101020010012220 = 223513129512833349
BaseRepresentation
bin10110111110000010001101…
…110011111101111000111100
3111020200102022012002220012110
4112332002031303331320330
5101220102440030342340
6554503541341134020
730164312010165315
oct2676021563757074
9436612265086173
10101020010012220
112a20838907a452
12b3b6430b5a310
13444a1b8bb36b0
141ad35749c960c
15ba2b67acd680
hex5be08dcfde3c

101020010012220 has 48 divisors (see below), whose sum is σ = 304614184039200. Its totient is φ = 24866464002816.

The previous prime is 101020010012197. The next prime is 101020010012231. The reversal of 101020010012220 is 22210010020101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 101020010012196 and 101020010012205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64756415895 + ... + 64756417454.

It is an arithmetic number, because the mean of its divisors is an integer number (6346128834150).

Almost surely, 2101020010012220 is an apocalyptic number.

101020010012220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020010012220 is an abundant number, since it is smaller than the sum of its proper divisors (203594174026980).

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

101020010012220 is a wasteful number, since it uses less digits than its factorization.

101020010012220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129512833374 (or 129512833372 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 101020010012220 its reverse (22210010020101), we get a palindrome (123230020032321).

The spelling of 101020010012220 in words is "one hundred one trillion, twenty billion, ten million, twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 129512833349 259025666698 388538500047 518051333396 647564166745 777077000094 1295128333490 1554154000188 1683666833537 1942692500235 2590256666980 3367333667074 3885385000470 5051000500611 6734667334148 7770770000940 8418334167685 10102001001222 16836668335370 20204002002444 25255002503055 33673336670740 50510005006110 101020010012220