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21213155313 = 3372127251503
BaseRepresentation
bin10011110000011001…
…110000111111110001
32000202101021221111000
4103300121300333301
5321421031432223
613424543312213
71350452562600
oct236031607761
960671257430
1021213155313
118aa6300619
1241402ab669
132000b26c0c
14105347ba37
15842504543
hex4f0670ff1

21213155313 has 96 divisors (see below), whose sum is σ = 37066014720. Its totient is φ = 11954628000.

The previous prime is 21213155281. The next prime is 21213155317. The reversal of 21213155313 is 31355131212.

21213155313 is a `hidden beast` number, since 2 + 121 + 3 + 1 + 5 + 531 + 3 = 666.

It is not a de Polignac number, because 21213155313 - 25 = 21213155281 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (21213155317) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 42173020 + ... + 42173522.

It is an arithmetic number, because the mean of its divisors is an integer number (386104320).

Almost surely, 221213155313 is an apocalyptic number.

It is an amenable number.

21213155313 is a deficient number, since it is larger than the sum of its proper divisors (15852859407).

21213155313 is a wasteful number, since it uses less digits than its factorization.

21213155313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 904 (or 891 counting only the distinct ones).

The product of its digits is 2700, while the sum is 27.

Adding to 21213155313 its reverse (31355131212), we get a palindrome (52568286525).

The spelling of 21213155313 in words is "twenty-one billion, two hundred thirteen million, one hundred fifty-five thousand, three hundred thirteen".

Divisors: 1 3 7 9 21 27 49 63 127 147 189 251 381 441 503 753 889 1143 1323 1509 1757 2259 2667 3429 3521 4527 5271 6223 6777 8001 10563 12299 13581 15813 18669 24003 24647 31689 31877 36897 47439 56007 63881 73941 95067 95631 110691 126253 168021 191643 221823 223139 286893 332073 378759 447167 574929 665469 669417 860679 883771 1136277 1341501 1561973 1724787 2008251 2651313 3130169 3408831 4024503 4685919 6024753 6186397 7953939 9390507 12073509 14057757 16034131 18559191 23861817 28171521 42173271 48102393 55677573 84514563 112238917 144307179 167032719 336716751 432921537 785672419 1010150253 2357017257 3030450759 7071051771 21213155313