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23213100000 = 2535577377
BaseRepresentation
bin10101100111100110…
…111100101111100000
32012220202112122211110
4111213212330233200
5340020023200000
614355225143320
71451146044246
oct254746745740
965822478743
1023213100000
11993220a672
1245ba02ab40
13225c28203c
1411a2d20796
1590cda5850
hex5679bcbe0

23213100000 has 144 divisors (see below), whose sum is σ = 76164093936. Its totient is φ = 6190080000.

The previous prime is 23213099977. The next prime is 23213100073. The reversal of 23213100000 is 131232.

It is a happy number.

It is a super-2 number, since 2×232131000002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 261312 + ... + 338688.

It is an arithmetic number, because the mean of its divisors is an integer number (528917319).

Almost surely, 223213100000 is an apocalyptic number.

23213100000 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 23213100000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38082046968).

23213100000 is an abundant number, since it is smaller than the sum of its proper divisors (52950993936).

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

23213100000 is an frugal number, since it uses more digits than its factorization.

23213100000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77415 (or 77387 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 23213100000 its reverse (131232), we get a palindrome (23213231232).

The spelling of 23213100000 in words is "twenty-three billion, two hundred thirteen million, one hundred thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 125 150 160 200 240 250 300 375 400 480 500 600 625 750 800 1000 1200 1250 1500 1875 2000 2400 2500 3000 3125 3750 4000 5000 6000 6250 7500 9375 10000 12000 12500 15000 18750 20000 25000 30000 37500 50000 60000 75000 77377 100000 150000 154754 232131 300000 309508 386885 464262 619016 773770 928524 1160655 1238032 1547540 1857048 1934425 2321310 2476064 3095080 3714096 3868850 4642620 5803275 6190160 7428192 7737700 9285240 9672125 11606550 12380320 15475400 18570480 19344250 23213100 29016375 30950800 37140960 38688500 46426200 48360625 58032750 61901600 77377000 92852400 96721250 116065500 145081875 154754000 185704800 193442500 232131000 241803125 290163750 309508000 386885000 464262000 483606250 580327500 725409375 773770000 928524000 967212500 1160655000 1450818750 1547540000 1934425000 2321310000 2901637500 3868850000 4642620000 5803275000 7737700000 11606550000 23213100000