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21233513000 = 235372433337
BaseRepresentation
bin10011110001100111…
…011011001000101000
32000210210121012222102
4103301213123020220
5321441234404000
613430551512532
71351120611500
oct236147331050
960723535872
1021233513000
119006845657
124147088748
13200510409b
14105605aa00
158441c63d5
hex4f19db228

21233513000 has 96 divisors (see below), whose sum is σ = 57798622440. Its totient is φ = 7280044800.

The previous prime is 21233512999. The next prime is 21233513003. The reversal of 21233513000 is 31533212.

It can be written as a sum of positive squares in 4 ways, for example, as 7129100356 + 14104412644 = 84434^2 + 118762^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (21233513003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 167669 + ... + 265668.

Almost surely, 221233513000 is an apocalyptic number.

21233513000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21233513000 is an abundant number, since it is smaller than the sum of its proper divisors (36565109440).

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

21233513000 is a wasteful number, since it uses less digits than its factorization.

21233513000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433372 (or 433351 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 20.

The spelling of 21233513000 in words is "twenty-one billion, two hundred thirty-three million, five hundred thirteen thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 49 50 56 70 98 100 125 140 175 196 200 245 250 280 350 392 490 500 700 875 980 1000 1225 1400 1750 1960 2450 3500 4900 6125 7000 9800 12250 24500 49000 433337 866674 1733348 2166685 3033359 3466696 4333370 6066718 8666740 10833425 12133436 15166795 17333480 21233513 21666850 24266872 30333590 42467026 43333700 54167125 60667180 75833975 84934052 86667400 106167565 108334250 121334360 151667950 169868104 212335130 216668500 303335900 379169875 424670260 433337000 530837825 606671800 758339750 849340520 1061675650 1516679500 2123351300 2654189125 3033359000 4246702600 5308378250 10616756500 21233513000