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100201111000 = 23531753111211
BaseRepresentation
bin101110101010001110…
…0111001110111011000
3100120122012001211200021
41131110130321313120
53120202441023000
6114010505320224
710145035250644
oct1352434716730
9316565054607
10100201111000
1139549a07841
1217505196074
1395ab395633
144bc7a51c24
152916c1311a
hex1754739dd8

100201111000 has 128 divisors (see below), whose sum is σ = 252949469760. Its totient is φ = 37010688000.

The previous prime is 100201110979. The next prime is 100201111019. The reversal of 100201111000 is 111102001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 845395 + ... + 956605.

Almost surely, 2100201111000 is an apocalyptic number.

100201111000 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 100201111000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126474734880).

100201111000 is an abundant number, since it is smaller than the sum of its proper divisors (152748358760).

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

100201111000 is a wasteful number, since it uses less digits than its factorization.

100201111000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111302 (or 111288 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 7.

Adding to 100201111000 its reverse (111102001), we get a palindrome (100312213001).

The spelling of 100201111000 in words is "one hundred billion, two hundred one million, one hundred eleven thousand".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 53 68 85 100 106 125 136 170 200 212 250 265 340 424 425 500 530 680 850 901 1000 1060 1325 1700 1802 2120 2125 2650 3400 3604 4250 4505 5300 6625 7208 8500 9010 10600 13250 17000 18020 22525 26500 36040 45050 53000 90100 111211 112625 180200 222422 225250 444844 450500 556055 889688 901000 1112110 1890587 2224220 2780275 3781174 4448440 5560550 5894183 7562348 9452935 11121100 11788366 13901375 15124696 18905870 22242200 23576732 27802750 29470915 37811740 47153464 47264675 55605500 58941830 75623480 94529350 100201111 111211000 117883660 147354575 189058700 200402222 235767320 236323375 294709150 378117400 400804444 472646750 501005555 589418300 736772875 801608888 945293500 1002011110 1178836600 1473545750 1890587000 2004022220 2505027775 2947091500 4008044440 5010055550 5894183000 10020111100 12525138875 20040222200 25050277750 50100555500 100201111000