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21023210013030 = 2345411135602111
BaseRepresentation
bin1001100011110110110001…
…11101110000000101100110
32202102210120122121202110000
410301323120331300011212
510223421013230404110
6112413532423442130
74266606512440251
oct461733075600546
982383518552400
1021023210013030
116775990a84285
1224365325b6346
13b96631cc04a4
14529759020098
15266cde0931c0
hex131ed8f70166

21023210013030 has 160 divisors (see below), whose sum is σ = 58420302893568. Its totient is φ = 5421049804800.

The previous prime is 21023210013023. The next prime is 21023210013031. The reversal of 21023210013030 is 3031001232012.

21023210013030 is a `hidden beast` number, since 210 + 2 + 321 + 0 + 0 + 130 + 3 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 21023210012994 and 21023210013012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21023210013031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 951675 + ... + 6553785.

Almost surely, 221023210013030 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21023210013030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29210151446784).

21023210013030 is an abundant number, since it is smaller than the sum of its proper divisors (37397092880538).

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

21023210013030 is a wasteful number, since it uses less digits than its factorization.

21023210013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5602284 (or 5602275 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 21023210013030 its reverse (3031001232012), we get a palindrome (24054211245042).

The spelling of 21023210013030 in words is "twenty-one trillion, twenty-three billion, two hundred ten million, thirteen thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 41 45 54 81 82 90 113 123 135 162 205 226 246 270 339 369 405 410 565 615 678 738 810 1017 1107 1130 1230 1695 1845 2034 2214 3051 3321 3390 3690 4633 5085 5535 6102 6642 9153 9266 10170 11070 13899 15255 16605 18306 23165 27798 30510 33210 41697 45765 46330 69495 83394 91530 125091 138990 208485 250182 375273 416970 625455 750546 1250910 1876365 3752730 5602111 11204222 16806333 28010555 33612666 50418999 56021110 84031665 100837998 151256997 168063330 229686551 252094995 302513994 453770991 459373102 504189990 633038543 689059653 756284985 907541982 1148432755 1266077086 1378119306 1512569970 1899115629 2067178959 2268854955 2296865510 3165192715 3445298265 3798231258 4134357918 4537709910 5697346887 6201536877 6330385430 6890596530 9495578145 10335894795 11394693774 12403073754 17092040661 18604610631 18991156290 20671789590 25954580263 28486734435 31007684385 34184081322 37209221262 51276121983 51909160526 56973468870 62015368770 77863740789 85460203305 93023053155 102552243966 129772901315 155727481578 170920406610 186046106310 233591222367 256380609915 259545802630 389318703945 467182444734 512761219830 700773667101 778637407890 1167956111835 1401547334202 2102321001303 2335912223670 3503868335505 4204642002606 7007736671010 10511605006515 21023210013030