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103000012200 = 233252232487923
BaseRepresentation
bin101111111101101000…
…1110111010110101000
3100211212020200202022200
41133323101313112220
53141421000342300
6115152331420200
710304302441521
oct1377321672650
9324766622280
10103000012200
113a755904728
1217b665b4660
1399361c96a7
144db166b848
152a2c7d2200
hex17fb4775a8

103000012200 has 144 divisors (see below), whose sum is σ = 360948013920. Its totient is φ = 26272456320.

The previous prime is 103000012163. The next prime is 103000012207. The reversal of 103000012200 is 2210000301.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (103000012207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1202562 + ... + 1285361.

It is an arithmetic number, because the mean of its divisors is an integer number (2506583430).

Almost surely, 2103000012200 is an apocalyptic number.

103000012200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103000012200 is an abundant number, since it is smaller than the sum of its proper divisors (257948001720).

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

103000012200 is a wasteful number, since it uses less digits than its factorization.

103000012200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2487968 (or 2487956 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

Adding to 103000012200 its reverse (2210000301), we get a palindrome (105210012501).

The spelling of 103000012200 in words is "one hundred three billion, twelve thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 23 24 25 30 36 40 45 46 50 60 69 72 75 90 92 100 115 120 138 150 180 184 200 207 225 230 276 300 345 360 414 450 460 552 575 600 690 828 900 920 1035 1150 1380 1656 1725 1800 2070 2300 2760 3450 4140 4600 5175 6900 8280 10350 13800 20700 41400 2487923 4975846 7463769 9951692 12439615 14927538 19903384 22391307 24879230 29855076 37318845 44782614 49758460 57222229 59710152 62198075 74637690 89565228 99516920 111956535 114444458 124396150 149275380 171666687 179130456 186594225 223913070 228888916 248792300 286111145 298550760 343333374 373188450 447826140 457777832 497584600 515000061 559782675 572222290 686666748 746376900 858333435 895652280 1030000122 1119565350 1144444580 1373333496 1430555725 1492753800 1716666870 2060000244 2239130700 2288889160 2575000305 2861111450 3433333740 4120000488 4291667175 4478261400 5150000610 5722222900 6866667480 8583334350 10300001220 11444445800 12875001525 17166668700 20600002440 25750003050 34333337400 51500006100 103000012200