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103104023220 = 2232511488910651
BaseRepresentation
bin110000000000101111…
…0101000101010110100
3100212010111102001121200
41200001132220222310
53142124112220340
6115210525012500
710310004510612
oct1400136505264
9325114361550
10103104023220
113a7a9595750
1217b953b4130
139951915a83
144dc13c46b2
152a369ca330
hex18017a8ab4

103104023220 has 144 divisors (see below), whose sum is σ = 341282410560. Its totient is φ = 24987456000.

The previous prime is 103104023189. The next prime is 103104023221. The reversal of 103104023220 is 22320401301.

103104023220 is a `hidden beast` number, since 10 + 31 + 0 + 402 + 3 + 220 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 103104023193 and 103104023202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103104023221) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9674895 + ... + 9685545.

It is an arithmetic number, because the mean of its divisors is an integer number (2370016740).

Almost surely, 2103104023220 is an apocalyptic number.

103104023220 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 103104023220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170641205280).

103104023220 is an abundant number, since it is smaller than the sum of its proper divisors (238178387340).

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

103104023220 is a wasteful number, since it uses less digits than its factorization.

103104023220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15566 (or 15561 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 103104023220 its reverse (22320401301), we get a palindrome (125424424521).

The spelling of 103104023220 in words is "one hundred three billion, one hundred four million, twenty-three thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 44 45 55 60 66 90 99 110 132 165 180 198 220 330 396 495 660 990 1980 4889 9778 10651 14667 19556 21302 24445 29334 31953 42604 44001 48890 53255 53779 58668 63906 73335 88002 95859 97780 106510 107558 117161 127812 146670 159765 161337 176004 191718 213020 215116 220005 234322 268895 293340 319530 322674 351483 383436 440010 468644 479295 484011 537790 585805 639060 645348 702966 806685 880020 958590 968022 1054449 1075580 1171610 1405932 1613370 1757415 1917180 1936044 2108898 2343220 2420055 3226740 3514830 4217796 4840110 5272245 7029660 9680220 10544490 21088980 52072739 104145478 156218217 208290956 260363695 312436434 468654651 520727390 572800129 624872868 781091085 937309302 1041454780 1145600258 1562182170 1718400387 1874618604 2291200516 2343273255 2864000645 3124364340 3436800774 4686546510 5155201161 5728001290 6873601548 8592001935 9373093020 10310402322 11456002580 17184003870 20620804644 25776005805 34368007740 51552011610 103104023220