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21001021021112 = 23111979754721067
BaseRepresentation
bin1001100011001101011100…
…11001011101101110111000
32202100200022021010011210112
410301212232121131232320
510223040042340133422
6112355422540403452
74265162610222566
oct461465631355670
982320267104715
1021001021021112
116767534964230
12243217b546588
13b94506c69882
14528652124a36
15266441081ee2
hex1319ae65dbb8

21001021021112 has 128 divisors (see below), whose sum is σ = 45798124032000. Its totient is φ = 8927420261760.

The previous prime is 21001021020989. The next prime is 21001021021117. The reversal of 21001021021112 is 21112012010012.

It is a super-2 number, since 2×210010210211122 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21001021021117) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 996857603 + ... + 996878669.

It is an arithmetic number, because the mean of its divisors is an integer number (357797844000).

Almost surely, 221001021021112 is an apocalyptic number.

21001021021112 is a gapful number since it is divisible by the number (22) 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 21001021021112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22899062016000).

21001021021112 is an abundant number, since it is smaller than the sum of its proper divisors (24797103010888).

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

21001021021112 is a wasteful number, since it uses less digits than its factorization.

21001021021112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28729 (or 28725 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 14.

Adding to 21001021021112 its reverse (21112012010012), we get a palindrome (42113033031124).

The spelling of 21001021021112 in words is "twenty-one trillion, one billion, twenty-one million, twenty-one thousand, one hundred twelve".

Divisors: 1 2 4 8 11 19 22 38 44 76 79 88 152 158 209 316 418 632 836 869 1501 1672 1738 3002 3476 6004 6952 7547 12008 15094 16511 21067 30188 33022 42134 60376 66044 83017 84268 132088 143393 166034 168536 231737 286786 332068 400273 463474 573572 596213 664136 800546 926948 1147144 1192426 1577323 1601092 1664293 1853896 2384852 3154646 3202184 3328586 4403003 4769704 6309292 6558343 6657172 8806006 11328047 12618584 13116686 13314344 17612012 18307223 22656094 26233372 31621567 35224024 36614446 45312188 52466744 63243134 73228892 90624376 124608517 126486268 146457784 158992649 249217034 252972536 317985298 347837237 498434068 635970596 695674474 996868136 1271941192 1391348948 1748919139 2782697896 3020860331 3497838278 6041720662 6995676556 12083441324 12560419271 13991353112 24166882648 25120838542 33229463641 50241677084 66458927282 100483354168 132917854564 138164611981 238647966149 265835709128 276329223962 477295932298 552658447924 954591864596 1105316895848 1909183729192 2625127627639 5250255255278 10500510510556 21001021021112