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100021132320 = 25351168117839
BaseRepresentation
bin101110100100110111…
…0010101110000100000
3100120011122101222100020
41131021232111300200
53114320402213240
6113540555553440
710140421411524
oct1351156256040
9316148358306
10100021132320
113946735a12a
1217474a5b880
13957cccb385
144babba1d84
1529060110d0
hex1749b95c20

100021132320 has 96 divisors (see below), whose sum is σ = 315111202560. Its totient is φ = 26668523520.

The previous prime is 100021132301. The next prime is 100021132331. The reversal of 100021132320 is 23231120001.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 100021132320.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5597961 + ... + 5615799.

It is an arithmetic number, because the mean of its divisors is an integer number (3282408360).

Almost surely, 2100021132320 is an apocalyptic number.

100021132320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021132320 is an abundant number, since it is smaller than the sum of its proper divisors (215090070240).

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

100021132320 is a wasteful number, since it uses less digits than its factorization.

100021132320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29538 (or 29530 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 100021132320 its reverse (23231120001), we get a palindrome (123252252321).

The spelling of 100021132320 in words is "one hundred billion, twenty-one million, one hundred thirty-two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 11681 17839 23362 35043 35678 46724 53517 58405 70086 71356 89195 93448 107034 116810 140172 142712 175215 178390 186896 214068 233620 267585 280344 285424 350430 356780 373792 428136 467240 535170 560688 570848 700860 713560 856272 934480 1070340 1121376 1401720 1427120 1712544 1868960 2140680 2803440 2854240 4281360 5606880 8562720 208377359 416754718 625132077 833509436 1041886795 1250264154 1667018872 2083773590 2500528308 3125660385 3334037744 4167547180 5001056616 6251320770 6668075488 8335094360 10002113232 12502641540 16670188720 20004226464 25005283080 33340377440 50010566160 100021132320