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21132130200 = 2335240986113
BaseRepresentation
bin10011101011100100…
…101011011110011000
32000112201211102220220
4103223210223132120
5321234311131300
613412530520040
71345450100016
oct235344533630
960481742826
1021132130200
118a6459a215
124119136020
131cba0c806c
1410467c98b6
1583a34bda0
hex4eb92b798

21132130200 has 96 divisors (see below), whose sum is σ = 65670536400. Its totient is φ = 5621391360.

The previous prime is 21132130199. The next prime is 21132130223. The reversal of 21132130200 is 203123112.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 21132130200.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 202344 + ... + 288456.

Almost surely, 221132130200 is an apocalyptic number.

21132130200 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 21132130200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32835268200).

21132130200 is an abundant number, since it is smaller than the sum of its proper divisors (44538406200).

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

21132130200 is a wasteful number, since it uses less digits than its factorization.

21132130200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86541 (or 86532 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 21132130200 its reverse (203123112), we get a palindrome (21335253312).

The spelling of 21132130200 in words is "twenty-one billion, one hundred thirty-two million, one hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 409 600 818 1227 1636 2045 2454 3272 4090 4908 6135 8180 9816 10225 12270 16360 20450 24540 30675 40900 49080 61350 81800 86113 122700 172226 245400 258339 344452 430565 516678 688904 861130 1033356 1291695 1722260 2066712 2152825 2583390 3444520 4305650 5166780 6458475 8611300 10333560 12916950 17222600 25833900 35220217 51667800 70440434 105660651 140880868 176101085 211321302 281761736 352202170 422642604 528303255 704404340 845285208 880505425 1056606510 1408808680 1761010850 2113213020 2641516275 3522021700 4226426040 5283032550 7044043400 10566065100 21132130200