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103103213004 = 2232111036833701
BaseRepresentation
bin110000000000101101…
…1100010110111001100
3100212010102212220012200
41200001123202313030
53142123410304004
6115210455401500
710306664564511
oct1400133426714
9325112786180
10103103213004
113a7a9091a50
1217b95083290
1399516c105c
144dc1253308
152a368ba239
hex18016e2dcc

103103213004 has 144 divisors (see below), whose sum is σ = 287573255424. Its totient is φ = 30886416000.

The previous prime is 103103212957. The next prime is 103103213029. The reversal of 103103213004 is 400312301301.

103103213004 is a `hidden beast` number, since 1 + 0 + 310 + 321 + 30 + 0 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 27856354 + ... + 27860054.

It is an arithmetic number, because the mean of its divisors is an integer number (1997036496).

Almost surely, 2103103213004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103103213004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143786627712).

103103213004 is an abundant number, since it is smaller than the sum of its proper divisors (184470042420).

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

103103213004 is a wasteful number, since it uses less digits than its factorization.

103103213004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508 (or 4503 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 103103213004 its reverse (400312301301), we get a palindrome (503415514305).

The spelling of 103103213004 in words is "one hundred three billion, one hundred three million, two hundred thirteen thousand, four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 103 132 198 206 309 396 412 618 683 927 1133 1236 1366 1854 2049 2266 2732 3399 3701 3708 4098 4532 6147 6798 7402 7513 8196 10197 11103 12294 13596 14804 15026 20394 22206 22539 24588 30052 33309 40711 40788 44412 45078 66618 67617 70349 81422 90156 122133 133236 135234 140698 162844 211047 244266 270468 281396 366399 381203 422094 488532 633141 732798 762406 773839 844188 1143609 1266282 1465596 1524812 1547678 2287218 2321517 2527783 2532564 3095356 3430827 4193233 4574436 4643034 5055566 6861654 6964551 7583349 8386466 9286068 10111132 12579699 13723308 13929102 15166698 16772932 22750047 25159398 27805613 27858204 30333396 37739097 45500094 50318796 55611226 75478194 83416839 91000188 111222452 150956388 166833678 250250517 260361649 333667356 500501034 520723298 781084947 1001002068 1041446596 1562169894 2343254841 2863978139 3124339788 4686509682 5727956278 8591934417 9373019364 11455912556 17183868834 25775803251 34367737668 51551606502 103103213004