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100012213300 = 225219234634943
BaseRepresentation
bin101110100100100110…
…0010100010000110100
3100120011000121211202011
41131021030110100310
53114311111311200
6113540040454004
710140252533536
oct1351114242064
9316130554664
10100012213300
113946231813a
1217471a7a304
13957b1c784c
144baa91d856
15290534d5ba
hex1749314434

100012213300 has 144 divisors (see below), whose sum is σ = 238944706560. Its totient is φ = 36165951360.

The previous prime is 100012213291. The next prime is 100012213303. The reversal of 100012213300 is 3312210001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100012213303) 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, 20230629 + ... + 20235571.

It is an arithmetic number, because the mean of its divisors is an integer number (1659338240).

Almost surely, 2100012213300 is an apocalyptic number.

100012213300 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 100012213300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119472353280).

100012213300 is an abundant number, since it is smaller than the sum of its proper divisors (138932493260).

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

100012213300 is a wasteful number, since it uses less digits than its factorization.

100012213300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5462 (or 5455 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 13.

Adding to 100012213300 its reverse (3312210001), we get a palindrome (103324423301).

The spelling of 100012213300 in words is "one hundred billion, twelve million, two hundred thirteen thousand, three hundred".

Divisors: 1 2 4 5 10 19 20 23 25 38 46 50 76 92 95 100 115 190 230 380 437 460 463 475 575 874 926 950 1150 1748 1852 1900 2185 2300 2315 4370 4630 4943 8740 8797 9260 9886 10649 10925 11575 17594 19772 21298 21850 23150 24715 35188 42596 43700 43985 46300 49430 53245 87970 93917 98860 106490 113689 123575 175940 187834 202331 212980 219925 227378 247150 266225 375668 404662 439850 454756 469585 494300 532450 568445 809324 879700 939170 1011655 1064900 1136890 1878340 2023310 2160091 2273780 2288609 2347925 2842225 4046620 4320182 4577218 4695850 5058275 5684450 8640364 9154436 9391700 10116550 10800455 11368900 11443045 20233100 21600910 22886090 43201820 43483571 45772180 52638007 54002275 57215225 86967142 105276014 108004550 114430450 173934284 210552028 216009100 217417855 228860900 263190035 434835710 526380070 869671420 1000122133 1052760140 1087089275 1315950175 2000244266 2174178550 2631900350 4000488532 4348357100 5000610665 5263800700 10001221330 20002442660 25003053325 50006106650 100012213300