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100020212100 = 22335237044523
BaseRepresentation
bin101110100100110101…
…0110101000110000100
3100120011120200020001000
41131021222311012010
53114320133241400
6113540524133300
710140410526624
oct1351152650604
9316146606030
10100020212100
1139466890816
1217474697230
13957ca68573
144baba02884
152905dcd600
hex1749ab5184

100020212100 has 72 divisors (see below), whose sum is σ = 321546468320. Its totient is φ = 26672055840.

The previous prime is 100020212063. The next prime is 100020212111. The reversal of 100020212100 is 1212020001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18519562 + ... + 18524961.

Almost surely, 2100020212100 is an apocalyptic number.

100020212100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100020212100 is an abundant number, since it is smaller than the sum of its proper divisors (221526256220).

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

100020212100 is a wasteful number, since it uses less digits than its factorization.

100020212100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37044546 (or 37044533 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 9.

Adding to 100020212100 its reverse (1212020001), we get a palindrome (101232232101).

The spelling of 100020212100 in words is "one hundred billion, twenty million, two hundred twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 27 30 36 45 50 54 60 75 90 100 108 135 150 180 225 270 300 450 540 675 900 1350 2700 37044523 74089046 111133569 148178092 185222615 222267138 333400707 370445230 444534276 555667845 666801414 740890460 926113075 1000202121 1111335690 1333602828 1667003535 1852226150 2000404242 2222671380 2778339225 3334007070 3704452300 4000808484 5001010605 5556678450 6668014140 8335017675 10002021210 11113356900 16670035350 20004042420 25005053025 33340070700 50010106050 100020212100