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103012112220 = 22357143395573
BaseRepresentation
bin101111111110000000…
…0000001011101011100
3100211220002110111102120
41133330000001131130
53141432100042340
6115153443022540
710304510335533
oct1377400013534
9324802414376
10103012112220
113a761719646
1217b6a66aa50
139938875074
144db30db31a
152a2d8c24d0
hex17fc00175c

103012112220 has 96 divisors (see below), whose sum is σ = 292616271360. Its totient is φ = 27071896320.

The previous prime is 103012112219. The next prime is 103012112233. The reversal of 103012112220 is 22211210301.

It is a super-2 number, since 2×1030121122202 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 103012112220.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18481354 + ... + 18486926.

It is an arithmetic number, because the mean of its divisors is an integer number (3048086160).

Almost surely, 2103012112220 is an apocalyptic number.

103012112220 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 103012112220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146308135680).

103012112220 is an abundant number, since it is smaller than the sum of its proper divisors (189604159140).

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

103012112220 is a wasteful number, since it uses less digits than its factorization.

103012112220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9995 (or 9993 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 103012112220 its reverse (22211210301), we get a palindrome (125223322521).

The spelling of 103012112220 in words is "one hundred three billion, twelve million, one hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 71 142 213 284 355 426 710 852 1065 1420 2130 4260 4339 5573 8678 11146 13017 16719 17356 21695 22292 26034 27865 33438 43390 52068 55730 65085 66876 83595 86780 111460 130170 167190 260340 308069 334380 395683 616138 791366 924207 1187049 1232276 1540345 1582732 1848414 1978415 2374098 3080690 3696828 3956830 4621035 4748196 5935245 6161380 7913660 9242070 11870490 18484140 23740980 24181247 48362494 72543741 96724988 120906235 145087482 241812470 290174964 362718705 483624940 725437410 1450874820 1716868537 3433737074 5150605611 6867474148 8584342685 10301211222 17168685370 20602422444 25753028055 34337370740 51506056110 103012112220