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103071220 = 22572953479
BaseRepresentation
bin1100010010010…
…11110111110100
321011221120010121
412021023313310
5202341234340
614121101324
72361043120
oct611136764
9234846117
10103071220
11531a9a2a
122a627844
131847a6b5
14d990580
1590ae94a
hex624bdf4

103071220 has 96 divisors (see below), whose sum is σ = 261273600. Its totient is φ = 33406464.

The previous prime is 103071203. The next prime is 103071229. The reversal of 103071220 is 22170301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103071194 and 103071203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103071229) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 214941 + ... + 215419.

It is an arithmetic number, because the mean of its divisors is an integer number (2721600).

Almost surely, 2103071220 is an apocalyptic number.

103071220 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 103071220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (130636800).

103071220 is an abundant number, since it is smaller than the sum of its proper divisors (158202380).

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

103071220 is a wasteful number, since it uses less digits than its factorization.

103071220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 577 (or 575 counting only the distinct ones).

The product of its (nonzero) digits is 84, while the sum is 16.

The square root of 103071220 is about 10152.3997163232. The cubic root of 103071220 is about 468.8628310313.

The spelling of 103071220 in words is "one hundred three million, seventy-one thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 29 35 53 58 70 106 116 140 145 203 212 265 290 371 406 479 530 580 742 812 958 1015 1060 1484 1537 1855 1916 2030 2395 3074 3353 3710 4060 4790 6148 6706 7420 7685 9580 10759 13412 13891 15370 16765 21518 25387 27782 30740 33530 43036 50774 53795 55564 67060 69455 97237 101548 107590 126935 138910 177709 194474 215180 253870 277820 355418 388948 486185 507740 710836 736223 888545 972370 1472446 1777090 1944740 2944892 3554180 3681115 5153561 7362230 10307122 14724460 20614244 25767805 51535610 103071220