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100200221000 = 2353112828101
BaseRepresentation
bin101110101010001100…
…1100000100101001000
3100120122010101121211022
41131110121200211020
53120202224033000
6114010434252012
710145024553125
oct1352431404510
9316563347738
10100200221000
113954945a100
1217504a27008
1395ab1434c9
144bc789d74c
152916ad9585
hex1754660948

100200221000 has 96 divisors (see below), whose sum is σ = 257721904440. Its totient is φ = 36436400000.

The previous prime is 100200220987. The next prime is 100200221021. The reversal of 100200221000 is 122002001.

It can be written as a sum of positive squares in 4 ways, for example, as 67632243844 + 32567977156 = 260062^2 + 180466^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 293051 + ... + 535050.

Almost surely, 2100200221000 is an apocalyptic number.

100200221000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100200221000 is an abundant number, since it is smaller than the sum of its proper divisors (157521683440).

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

100200221000 is a wasteful number, since it uses less digits than its factorization.

100200221000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 828144 (or 828119 counting only the distinct ones).

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

Adding to 100200221000 its reverse (122002001), we get a palindrome (100322223001).

The spelling of 100200221000 in words is "one hundred billion, two hundred million, two hundred twenty-one thousand".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 125 200 220 242 250 275 440 484 500 550 605 968 1000 1100 1210 1375 2200 2420 2750 3025 4840 5500 6050 11000 12100 15125 24200 30250 60500 121000 828101 1656202 3312404 4140505 6624808 8281010 9109111 16562020 18218222 20702525 33124040 36436444 41405050 45545555 72872888 82810100 91091110 100200221 103512625 165620200 182182220 200400442 207025250 227727775 364364440 400800884 414050500 455455550 501001105 801601768 828101000 910911100 1002002210 1138638875 1821822200 2004004420 2277277750 2505005525 4008008840 4554555500 5010011050 9109111000 10020022100 12525027625 20040044200 25050055250 50100110500 100200221000