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100226527860 = 223541101403391
BaseRepresentation
bin101110101010111110…
…1110111001001110100
3100120200221220011001110
41131111331313021310
53120230442342420
6114013214155020
710145464300404
oct1352575671164
9316627804043
10100226527860
1139562297908
12175117b2a70
1395b37244b4
144bcb18a804
152919083ee0
hex1755f77274

100226527860 has 96 divisors (see below), whose sum is σ = 290326063104. Its totient is φ = 25816960000.

The previous prime is 100226527811. The next prime is 100226527861. The reversal of 100226527860 is 68725622001.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100226527861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 46765 + ... + 450155.

It is an arithmetic number, because the mean of its divisors is an integer number (3024229824).

Almost surely, 2100226527860 is an apocalyptic number.

100226527860 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100226527860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145163031552).

100226527860 is an abundant number, since it is smaller than the sum of its proper divisors (190099535244).

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

100226527860 is a wasteful number, since it uses less digits than its factorization.

100226527860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 403545 (or 403543 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 39.

The spelling of 100226527860 in words is "one hundred billion, two hundred twenty-six million, five hundred twenty-seven thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 101 123 164 202 205 246 303 404 410 492 505 606 615 820 1010 1212 1230 1515 2020 2460 3030 4141 6060 8282 12423 16564 20705 24846 41410 49692 62115 82820 124230 248460 403391 806782 1210173 1613564 2016955 2420346 4033910 4840692 6050865 8067820 12101730 16539031 24203460 33078062 40742491 49617093 66156124 81484982 82695155 99234186 122227473 162969964 165390310 198468372 203712455 244454946 248085465 330780620 407424910 488909892 496170930 611137365 814849820 992341860 1222274730 1670442131 2444549460 3340884262 5011326393 6681768524 8352210655 10022652786 16704421310 20045305572 25056631965 33408842620 50113263930 100226527860