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21000321320112 = 2432436551517711
BaseRepresentation
bin1001100011001100001001…
…01100010100010010110000
32202100121111111111200110200
410301212010230110102300
510223032124224220422
6112355225303355200
74265136352655151
oct461460454242260
982317444450420
1021000321320112
1167672059a9542
122432005152b00
13b94425003604
145285c7227928
152663ee91d2ac
hex131984b144b0

21000321320112 has 120 divisors (see below), whose sum is σ = 60147813293568. Its totient is φ = 6836257008000.

The previous prime is 21000321320089. The next prime is 21000321320117. The reversal of 21000321320112 is 21102312300012.

21000321320112 is a `hidden beast` number, since 2 + 10 + 0 + 0 + 321 + 320 + 1 + 12 = 666.

It is a super-2 number, since 2×210003213201122 (a number of 27 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (21000321320117) 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, 40304937 + ... + 40822647.

Almost surely, 221000321320112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21000321320112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30073906646784).

21000321320112 is an abundant number, since it is smaller than the sum of its proper divisors (39147491973456).

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

21000321320112 is a wasteful number, since it uses less digits than its factorization.

21000321320112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 524319 (or 524310 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 21000321320112 its reverse (21102312300012), we get a palindrome (42102633620124).

The spelling of 21000321320112 in words is "twenty-one trillion, three hundred twenty-one million, three hundred twenty thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 43 48 72 86 129 144 172 258 344 387 516 688 774 1032 1548 2064 3096 6192 6551 13102 19653 26204 39306 52408 58959 78612 104816 117918 157224 235836 281693 314448 471672 517711 563386 845079 943344 1035422 1126772 1553133 1690158 2070844 2253544 2535237 3106266 3380316 4141688 4507088 4659399 5070474 6212532 6760632 8283376 9318798 10140948 12425064 13521264 18637596 20281896 22261573 24850128 37275192 40563792 44523146 66784719 74550384 89046292 133569438 178092584 200354157 267138876 356185168 400708314 534277752 801416628 1068555504 1602833256 3205666512 3391524761 6783049522 10174574283 13566099044 20349148566 27132198088 30523722849 40698297132 54264396176 61047445698 81396594264 122094891396 145835564723 162793188528 244189782792 291671129446 437506694169 488379565584 583342258892 875013388338 1166684517784 1312520082507 1750026776676 2333369035568 2625040165014 3500053553352 5250080330028 7000107106704 10500160660056 21000321320112