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100212002000 = 2453114555091
BaseRepresentation
bin101110101010100011…
…0011100110011010000
3100120122221120011022122
41131111012130303100
53120213233031000
6114011534553412
710145226651065
oct1352506346320
9316587504278
10100212002000
1139555076370
1217508968868
1395b0709906
144bc9288c6c
152917b65085
hex175519ccd0

100212002000 has 80 divisors (see below), whose sum is σ = 264341098944. Its totient is φ = 36440720000.

The previous prime is 100212001997. The next prime is 100212002047. The reversal of 100212002000 is 200212001.

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, 2255546 + ... + 2299545.

Almost surely, 2100212002000 is an apocalyptic number.

100212002000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100212002000 is an abundant number, since it is smaller than the sum of its proper divisors (164129096944).

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

100212002000 is a wasteful number, since it uses less digits than its factorization.

100212002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555125 (or 4555109 counting only the distinct ones).

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

Adding to 100212002000 its reverse (200212001), we get a palindrome (100412214001).

The spelling of 100212002000 in words is "one hundred billion, two hundred twelve million, 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 4555091 9110182 18220364 22775455 36440728 45550910 50106001 72881456 91101820 100212002 113877275 182203640 200424004 227754550 250530005 364407280 400848008 455509100 501060010 569386375 801696016 911018200 1002120020 1138772750 1252650025 1822036400 2004240040 2277545500 2505300050 4008480080 4555091000 5010600100 6263250125 9110182000 10021200200 12526500250 20042400400 25053000500 50106001000 100212002000