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21001211322 = 23713377913159
BaseRepresentation
bin10011100011110001…
…010000110110111010
32000012121111001222120
4103203301100312322
5321002302230242
613351532502110
71342300231230
oct234361206672
960177431876
1021001211322
1189a76aa9a3
1240a131a936
131c98c4a280
14103326a950
1582dadb1ec
hex4e3c50dba

21001211322 has 128 divisors (see below), whose sum is σ = 53768601600. Its totient is φ = 5320463616.

The previous prime is 21001211311. The next prime is 21001211351. The reversal of 21001211322 is 22311210012.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1589379 + ... + 1602537.

It is an arithmetic number, because the mean of its divisors is an integer number (420067200).

Almost surely, 221001211322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21001211322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26884300800).

21001211322 is an abundant number, since it is smaller than the sum of its proper divisors (32767390278).

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

21001211322 is a wasteful number, since it uses less digits than its factorization.

21001211322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13300.

The product of its (nonzero) digits is 48, while the sum is 15.

Adding to 21001211322 its reverse (22311210012), we get a palindrome (43312421334).

The spelling of 21001211322 in words is "twenty-one billion, one million, two hundred eleven thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 79 91 111 158 182 222 237 259 273 474 481 518 546 553 777 962 1027 1106 1443 1554 1659 2054 2886 2923 3081 3318 3367 5846 6162 6734 7189 8769 10101 13159 14378 17538 20202 20461 21567 26318 37999 39477 40922 43134 61383 75998 78954 92113 113997 122766 171067 184226 227994 265993 276339 342134 486883 513201 531986 552678 797979 973766 1026402 1039561 1197469 1460649 1595958 2079122 2394938 2921298 3118683 3408181 3592407 6237366 6329479 6816362 7184814 7276927 10224543 12658958 13514293 14553854 18988437 20449086 21830781 27028586 37976874 38463757 40542879 43661562 44306353 76927514 81085758 88612706 94600051 115391271 132919059 189200102 230782542 265838118 269246299 283800153 500028841 538492598 567600306 807738897 1000057682 1500086523 1615477794 3000173046 3500201887 7000403774 10500605661 21001211322