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100012022000 = 2453114546001
BaseRepresentation
bin101110100100100101…
…1100101100011110000
3100120011000021010022222
41131021023211203300
53114311034201000
6113540032420212
710140251106032
oct1351113454360
9316130233288
10100012022000
11394621a7440
12174719a7668
13957b15b757
144baa8adc52
152905311a85
hex17492e58f0

100012022000 has 80 divisors (see below), whose sum is σ = 263813588064. Its totient is φ = 36368000000.

The previous prime is 100012021997. The next prime is 100012022039. The reversal of 100012022000 is 220210001.

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

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

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, 2251001 + ... + 2295000.

Almost surely, 2100012022000 is an apocalyptic number.

100012022000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100012022000 is an abundant number, since it is smaller than the sum of its proper divisors (163801566064).

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

100012022000 is a wasteful number, since it uses less digits than its factorization.

100012022000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4546035 (or 4546019 counting only the distinct ones).

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

Adding to 100012022000 its reverse (220210001), we get a palindrome (100232232001).

The spelling of 100012022000 in words is "one hundred billion, twelve million, twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 400 440 500 550 880 1000 1100 1375 2000 2200 2750 4400 5500 11000 22000 4546001 9092002 18184004 22730005 36368008 45460010 50006011 72736016 90920020 100012022 113650025 181840040 200024044 227300050 250030055 363680080 400048088 454600100 500060110 568250125 800096176 909200200 1000120220 1136500250 1250150275 1818400400 2000240440 2273000500 2500300550 4000480880 4546001000 5000601100 6250751375 9092002000 10001202200 12501502750 20002404400 25003005500 50006011000 100012022000