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101012201220 = 22357293820837
BaseRepresentation
bin101111000010011001…
…0111101111100000100
3100122201201021111021210
41132010302331330010
53123333110414340
6114223202011420
710204114354320
oct1360462757404
9318651244253
10101012201220
1139925832937
12176b0946b70
1396aa42c388
144c63666980
15296302b180
hex1784cbdf04

101012201220 has 96 divisors (see below), whose sum is σ = 324342643968. Its totient is φ = 23009674752.

The previous prime is 101012201219. The next prime is 101012201221. The reversal of 101012201220 is 22102210101.

It is an interprime number because it is at equal distance from previous prime (101012201219) and next prime (101012201221).

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 = 101012201196 and 101012201205.

It is not an unprimeable number, because it can be changed into a prime (101012201221) 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 31 ways as a sum of consecutive naturals, for example, 287359 + ... + 533478.

It is an arithmetic number, because the mean of its divisors is an integer number (3378569208).

Almost surely, 2101012201220 is an apocalyptic number.

101012201220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101012201220 is an abundant number, since it is smaller than the sum of its proper divisors (223330442748).

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

101012201220 is a wasteful number, since it uses less digits than its factorization.

101012201220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 821149 (or 821147 counting only the distinct ones).

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

Adding to 101012201220 its reverse (22102210101), we get a palindrome (123114411321).

The spelling of 101012201220 in words is "one hundred one billion, twelve million, two hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 293 420 586 879 1172 1465 1758 2051 2930 3516 4102 4395 5860 6153 8204 8790 10255 12306 17580 20510 24612 30765 41020 61530 123060 820837 1641674 2462511 3283348 4104185 4925022 5745859 8208370 9850044 11491718 12312555 16416740 17237577 22983436 24625110 28729295 34475154 49250220 57458590 68950308 86187885 114917180 172375770 240505241 344751540 481010482 721515723 962020964 1202526205 1443031446 1683536687 2405052410 2886062892 3367073374 3607578615 4810104820 5050610061 6734146748 7215157230 8417683435 10101220122 14430314460 16835366870 20202440244 25253050305 33670733740 50506100610 101012201220