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103000123220 = 22531833316047
BaseRepresentation
bin101111111101101001…
…0010010011101010100
3100211212020220101121112
41133323102102131110
53141421012420340
6115152334034152
710304303413301
oct1377322223524
9324766811545
10103000123220
113a755980085
1217b66648958
139936238097
144db169a0a8
152a2c805065
hex17fb492754

103000123220 has 96 divisors (see below), whose sum is σ = 226687942656. Its totient is φ = 39265142400.

The previous prime is 103000123217. The next prime is 103000123249. The reversal of 103000123220 is 22321000301.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 103000123195 and 103000123204.

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, 17030237 + ... + 17036283.

It is an arithmetic number, because the mean of its divisors is an integer number (2361332736).

Almost surely, 2103000123220 is an apocalyptic number.

103000123220 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 103000123220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (113343971328).

103000123220 is an abundant number, since it is smaller than the sum of its proper divisors (123687819436).

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

103000123220 is a wasteful number, since it uses less digits than its factorization.

103000123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6501 (or 6499 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 103000123220 its reverse (22321000301), we get a palindrome (125321123521).

The spelling of 103000123220 in words is "one hundred three billion, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 31 62 83 124 155 166 310 331 332 415 620 662 830 1324 1655 1660 2573 3310 5146 6047 6620 10261 10292 12094 12865 20522 24188 25730 27473 30235 41044 51305 51460 54946 60470 102610 109892 120940 137365 187457 205220 274730 374914 501901 549460 749828 851663 937285 1003802 1703326 1874570 2001557 2007604 2509505 3406652 3749140 4003114 4258315 5019010 8006228 8516630 10007785 10038020 15558931 17033260 20015570 31117862 40031140 62048267 62235724 77794655 124096534 155589310 166129231 248193068 310241335 311178620 332258462 620482670 664516924 830646155 1240965340 1661292310 3322584620 5150006161 10300012322 20600024644 25750030805 51500061610 103000123220