Search a number
-
+
10110100202000 = 2453231012176087
BaseRepresentation
bin1001001100011111000011…
…1011100110001000010000
31022210111221021012000111122
42103013300323212020100
52311120441122431000
633300303234301412
72062300464541001
oct223076073461020
938714837160448
1010110100202000
11324873aaa33a7
1211734a4127868
135844bc339b46
1426d48d7571a8
15127ec0c30085
hex931f0ee6210

10110100202000 has 160 divisors (see below), whose sum is σ = 25761678718464. Its totient is φ = 3829911360000.

The previous prime is 10110100201997. The next prime is 10110100202017. The reversal of 10110100202000 is 20200101101.

It is a Harshad number since it is a multiple of its sum of digits (8).

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 31 ways as a sum of consecutive naturals, for example, 3557957 + ... + 5734043.

Almost surely, 210110100202000 is an apocalyptic number.

10110100202000 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 10110100202000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12880839359232).

10110100202000 is an abundant number, since it is smaller than the sum of its proper divisors (15651578516464).

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

10110100202000 is a wasteful number, since it uses less digits than its factorization.

10110100202000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2176234 (or 2176218 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 10110100202000 its reverse (20200101101), we get a palindrome (10130300303101).

The spelling of 10110100202000 in words is "ten trillion, one hundred ten billion, one hundred million, two hundred two thousand".

Divisors: 1 2 4 5 8 10 16 20 23 25 40 46 50 80 92 100 101 115 125 184 200 202 230 250 368 400 404 460 500 505 575 808 920 1000 1010 1150 1616 1840 2000 2020 2300 2323 2525 2875 4040 4600 4646 5050 5750 8080 9200 9292 10100 11500 11615 12625 18584 20200 23000 23230 25250 37168 40400 46000 46460 50500 58075 92920 101000 116150 185840 202000 232300 290375 464600 580750 929200 1161500 2176087 2323000 4352174 4646000 8704348 10880435 17408696 21760870 34817392 43521740 50050001 54402175 87043480 100100002 108804350 174086960 200200004 217608700 219784787 250250005 272010875 400400008 435217400 439569574 500500010 544021750 800800016 870434800 879139148 1001000020 1088043500 1098923935 1251250025 1758278296 2002000040 2176087000 2197847870 2502500050 3516556592 4004000080 4352174000 4395695740 5005000100 5055050101 5494619675 6256250125 8791391480 10010000200 10110100202 10989239350 12512500250 17582782960 20020000400 20220200404 21978478700 25025000500 25275250505 27473098375 40440400808 43956957400 50050001000 50550501010 54946196750 80880801616 87913914800 100100002000 101101002020 109892393500 126376252525 202202004040 219784787000 252752505050 404404008080 439569574000 505505010100 631881262625 1011010020200 1263762525250 2022020040400 2527525050500 5055050101000 10110100202000