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1010100022000 = 24532811797331
BaseRepresentation
bin11101011001011101010…
…01110010101011110000
310120120020121101200222221
432230232221302223300
5113022141101201000
62052011125010424
7132656135344216
oct16545651625360
93516217350887
101010100022000
1135a421146a13
12143920553a14
1374337906814
1436c639a4cb6
151b41d2d061a
hexeb2ea72af0

1010100022000 has 80 divisors (see below), whose sum is σ = 2451115109664. Its totient is φ = 402601920000.

The previous prime is 1010100021991. The next prime is 1010100022031. The reversal of 1010100022000 is 2200010101.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 336666 + ... + 1460665.

Almost surely, 21010100022000 is an apocalyptic number.

1010100022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1010100022000 is an abundant number, since it is smaller than the sum of its proper divisors (1441015087664).

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

1010100022000 is a wasteful number, since it uses less digits than its factorization.

1010100022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1797635 (or 1797619 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 7.

Adding to 1010100022000 its reverse (2200010101), we get a palindrome (1012300032101).

The spelling of 1010100022000 in words is "one trillion, ten billion, one hundred million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 281 400 500 562 1000 1124 1405 2000 2248 2810 4496 5620 7025 11240 14050 22480 28100 35125 56200 70250 112400 140500 281000 562000 1797331 3594662 7189324 8986655 14378648 17973310 28757296 35946620 44933275 71893240 89866550 143786480 179733100 224666375 359466200 449332750 505050011 718932400 898665500 1010100022 1797331000 2020200044 2525250055 3594662000 4040400088 5050500110 8080800176 10101000220 12626250275 20202000440 25252500550 40404000880 50505001100 63131251375 101010002200 126262502750 202020004400 252525005500 505050011000 1010100022000