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213515445500 = 22537496912277
BaseRepresentation
bin1100011011011010000…
…0110010010011111100
3202102010020222110020222
43012312200302103330
511444234423224000
6242030533000512
721266053225130
oct3066640622374
9672106873228
10213515445500
11826079a2475
1235469a83138
13171994232c6
14a4970a33c0
155849c90a85
hex31b68324fc

213515445500 has 96 divisors (see below), whose sum is σ = 533085221760. Its totient is φ = 73184601600.

The previous prime is 213515445499. The next prime is 213515445623. The reversal of 213515445500 is 5544515312.

213515445500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 31 ways as a sum of consecutive naturals, for example, 17385362 + ... + 17397638.

It is an arithmetic number, because the mean of its divisors is an integer number (5552971060).

Almost surely, 2213515445500 is an apocalyptic number.

213515445500 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 213515445500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266542610880).

213515445500 is an abundant number, since it is smaller than the sum of its proper divisors (319569776260).

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

213515445500 is a wasteful number, since it uses less digits than its factorization.

213515445500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17272 (or 17260 counting only the distinct ones).

The product of its (nonzero) digits is 60000, while the sum is 35.

The spelling of 213515445500 in words is "two hundred thirteen billion, five hundred fifteen million, four hundred forty-five thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 125 140 175 250 350 500 700 875 1750 3500 4969 9938 12277 19876 24554 24845 34783 49108 49690 61385 69566 85939 99380 122770 124225 139132 171878 173915 245540 248450 306925 343756 347830 429695 496900 613850 621125 695660 859390 869575 1227700 1242250 1534625 1718780 1739150 2148475 2484500 3069250 3478300 4296950 4347875 6138500 8593900 8695750 10742375 17391500 21484750 42969500 61004413 122008826 244017652 305022065 427030891 610044130 854061782 1220088260 1525110325 1708123564 2135154455 3050220650 4270308910 6100441300 7625551625 8540617820 10675772275 15251103250 21351544550 30502206500 42703089100 53378861375 106757722750 213515445500