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20313222100 = 22525912892671
BaseRepresentation
bin10010111010110000…
…110010101111010100
31221102122220121012021
4102322300302233110
5313100141101400
613155354502524
71316244352603
oct227260625724
957378817167
1020313222100
118684314466
123b2aa34a44
131bb9554a62
14da9b3ba3a
157dd4dc71a
hex4bac32bd4

20313222100 has 72 divisors (see below), whose sum is σ = 44878377600. Its totient is φ = 7978387200.

The previous prime is 20313222091. The next prime is 20313222113. The reversal of 20313222100 is 122231302.

It is a congruent number.

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, 7603765 + ... + 7606435.

It is an arithmetic number, because the mean of its divisors is an integer number (623310800).

Almost surely, 220313222100 is an apocalyptic number.

20313222100 is a gapful number since it is divisible by the number (20) 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 20313222100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22439188800).

20313222100 is an abundant number, since it is smaller than the sum of its proper divisors (24565155500).

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

20313222100 is a wasteful number, since it uses less digits than its factorization.

20313222100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4033 (or 4026 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 20313222100 its reverse (122231302), we get a palindrome (20435453402).

The spelling of 20313222100 in words is "twenty billion, three hundred thirteen million, two hundred twenty-two thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 59 100 118 236 295 590 1180 1289 1475 2578 2671 2950 5156 5342 5900 6445 10684 12890 13355 25780 26710 32225 53420 64450 66775 76051 128900 133550 152102 157589 267100 304204 315178 380255 630356 760510 787945 1521020 1575890 1901275 3151780 3442919 3802550 3939725 6885838 7605100 7879450 13771676 15758900 17214595 34429190 68858380 86072975 172145950 203132221 344291900 406264442 812528884 1015661105 2031322210 4062644420 5078305525 10156611050 20313222100