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1220103150 = 2352710691087
BaseRepresentation
bin100100010111001…
…0100101111101110
310011000211122212120
41020232110233232
54444321300100
6321023013410
742143464020
oct11056245756
93130748776
101220103150
11576797612
122a073a266
13165a12836
14b8084010
15721ac0a0
hex48b94bee

1220103150 has 96 divisors (see below), whose sum is σ = 3464540160. Its totient is φ = 278363520.

The previous prime is 1220103139. The next prime is 1220103161. The reversal of 1220103150 is 513010221.

It is an interprime number because it is at equal distance from previous prime (1220103139) and next prime (1220103161).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1121907 + ... + 1122993.

It is an arithmetic number, because the mean of its divisors is an integer number (36088960).

Almost surely, 21220103150 is an apocalyptic number.

1220103150 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1220103150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1732270080).

1220103150 is an abundant number, since it is smaller than the sum of its proper divisors (2244437010).

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

1220103150 is a wasteful number, since it uses less digits than its factorization.

1220103150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2178 (or 2173 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 15.

The square root of 1220103150 is about 34929.9749498908. The cubic root of 1220103150 is about 1068.5598437378.

Adding to 1220103150 its reverse (513010221), we get a palindrome (1733113371).

The spelling of 1220103150 in words is "one billion, two hundred twenty million, one hundred three thousand, one hundred fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 210 350 525 1050 1069 1087 2138 2174 3207 3261 5345 5435 6414 6522 7483 7609 10690 10870 14966 15218 16035 16305 22449 22827 26725 27175 32070 32610 37415 38045 44898 45654 53450 54350 74830 76090 80175 81525 112245 114135 160350 163050 187075 190225 224490 228270 374150 380450 561225 570675 1122450 1141350 1162003 2324006 3486009 5810015 6972018 8134021 11620030 16268042 17430045 24402063 29050075 34860090 40670105 48804126 58100150 81340210 87150225 122010315 174300450 203350525 244020630 406701050 610051575 1220103150