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101001201220 = 225107113417671
BaseRepresentation
bin101111000010000100…
…1000000011001000100
3100122200221120122010101
41132010021000121010
53123322301414340
6114222130133444
710203622021333
oct1360411003104
9318627518111
10101001201220
113991a5aa427
12176a9121284
1396a807a5ba
144c62001d1a
1529620a6c9a
hex1784240644

101001201220 has 48 divisors (see below), whose sum is σ = 215979861888. Its totient is φ = 39668625920.

The previous prime is 101001201211. The next prime is 101001201229. The reversal of 101001201220 is 22102100101.

101001201220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (101001201211) and next prime (101001201229).

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 = 101001201197 and 101001201206.

It is not an unprimeable number, because it can be changed into a prime (101001201229) 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, 32985 + ... + 450655.

It is an arithmetic number, because the mean of its divisors is an integer number (4499580456).

Almost surely, 2101001201220 is an apocalyptic number.

101001201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101001201220 is an abundant number, since it is smaller than the sum of its proper divisors (114978660668).

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

101001201220 is a wasteful number, since it uses less digits than its factorization.

101001201220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 417900 (or 417898 counting only the distinct ones).

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

Adding to 101001201220 its reverse (22102100101), we get a palindrome (123103301321).

The spelling of 101001201220 in words is "one hundred one billion, one million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 107 113 214 226 428 452 535 565 1070 1130 2140 2260 12091 24182 48364 60455 120910 241820 417671 835342 1670684 2088355 4176710 8353420 44690797 47196823 89381594 94393646 178763188 188787292 223453985 235984115 446907970 471968230 893815940 943936460 5050060061 10100120122 20200240244 25250300305 50500600610 101001201220