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100012121100 = 223252373003367
BaseRepresentation
bin101110100100100101…
…1111101110000001100
3100120011000110011021100
41131021023331300030
53114311100333400
6113540034503100
710140252000663
oct1351113756014
9316130404240
10100012121100
1139462264941
1217471a34a90
13957b1948a8
144baa8d7dda
152905331100
hex17492fdc0c

100012121100 has 108 divisors (see below), whose sum is σ = 321955042864. Its totient is φ = 25949082240.

The previous prime is 100012121071. The next prime is 100012121173. The reversal of 100012121100 is 1121210001.

It is a happy number.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1468384 + ... + 1534983.

Almost surely, 2100012121100 is an apocalyptic number.

100012121100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012121100 is an abundant number, since it is smaller than the sum of its proper divisors (221942921764).

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

100012121100 is a wasteful number, since it uses less digits than its factorization.

100012121100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3003424 (or 3003414 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 9.

Adding to 100012121100 its reverse (1121210001), we get a palindrome (101133331101).

The spelling of 100012121100 in words is "one hundred billion, twelve million, one hundred twenty-one thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 37 45 50 60 74 75 90 100 111 148 150 180 185 222 225 300 333 370 444 450 555 666 740 900 925 1110 1332 1665 1850 2220 2775 3330 3700 5550 6660 8325 11100 16650 33300 3003367 6006734 9010101 12013468 15016835 18020202 27030303 30033670 36040404 45050505 54060606 60067340 75084175 90101010 108121212 111124579 135151515 150168350 180202020 222249158 225252525 270303030 300336700 333373737 444498316 450505050 540606060 555622895 666747474 675757575 901010100 1000121211 1111245790 1333494948 1351515150 1666868685 2000242422 2222491580 2703030300 2778114475 3333737370 4000484844 5000606055 5556228950 6667474740 8334343425 10001212110 11112457900 16668686850 20002424220 25003030275 33337373700 50006060550 100012121100