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100022021000 = 2353119092911
BaseRepresentation
bin101110100100111000…
…1101110101110001000
3100120011201002010101022
41131021301232232020
53114321114133000
6113541031012012
710140432102446
oct1351161565610
9316151063338
10100022021000
1139467906880
121747520a008
13958024ca15
144babd53b96
152906139585
hex1749c6eb88

100022021000 has 64 divisors (see below), whose sum is σ = 255328968960. Its totient is φ = 36371640000.

The previous prime is 100022020991. The next prime is 100022021023. The reversal of 100022021000 is 120220001.

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 15 ways as a sum of consecutive naturals, for example, 4535456 + ... + 4557455.

It is an arithmetic number, because the mean of its divisors is an integer number (3989515140).

Almost surely, 2100022021000 is an apocalyptic number.

100022021000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100022021000 is an abundant number, since it is smaller than the sum of its proper divisors (155306947960).

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

100022021000 is a wasteful number, since it uses less digits than its factorization.

100022021000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9092943 (or 9092929 counting only the distinct ones).

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

Adding to 100022021000 its reverse (120220001), we get a palindrome (100142241001).

The spelling of 100022021000 in words is "one hundred billion, twenty-two million, twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 125 200 220 250 275 440 500 550 1000 1100 1375 2200 2750 5500 11000 9092911 18185822 36371644 45464555 72743288 90929110 100022021 181858220 200044042 227322775 363716440 400088084 454645550 500110105 800176168 909291100 1000220210 1136613875 1818582200 2000440420 2273227750 2500550525 4000880840 4546455500 5001101050 9092911000 10002202100 12502752625 20004404200 25005505250 50011010500 100022021000