Search a number
-
+
21023012100 = 22352671676263
BaseRepresentation
bin10011100101000100…
…011011010100000100
32000021010111200000210
4103211010123110010
5321023342341400
613354032035420
71342653440316
oct234504332404
960233450023
1021023012100
118a08a40172
1240a8692b70
131ca061123c
1410361037b6
15830995950
hex4e511b504

21023012100 has 144 divisors (see below), whose sum is σ = 62114024448. Its totient is φ = 5488517760.

The previous prime is 21023012077. The next prime is 21023012117. The reversal of 21023012100 is 121032012.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3353569 + ... + 3359831.

It is an arithmetic number, because the mean of its divisors is an integer number (431347392).

Almost surely, 221023012100 is an apocalyptic number.

21023012100 is a gapful number since it is divisible by the number (20) 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 21023012100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31057012224).

21023012100 is an abundant number, since it is smaller than the sum of its proper divisors (41091012348).

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

21023012100 is a wasteful number, since it uses less digits than its factorization.

21023012100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6514 (or 6507 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 21023012100 its reverse (121032012), we get a palindrome (21144044112).

The spelling of 21023012100 in words is "twenty-one billion, twenty-three million, twelve thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 67 75 100 134 150 167 201 268 300 334 335 402 501 668 670 804 835 1002 1005 1340 1670 1675 2004 2010 2505 3340 3350 4020 4175 5010 5025 6263 6700 8350 10020 10050 11189 12525 12526 16700 18789 20100 22378 25050 25052 31315 33567 37578 44756 50100 55945 62630 67134 75156 93945 111890 125260 134268 156575 167835 187890 223780 279725 313150 335670 375780 419621 469725 559450 626300 671340 839175 839242 939450 1045921 1118900 1258863 1678350 1678484 1878900 2091842 2098105 2517726 3137763 3356700 4183684 4196210 5035452 5229605 6275526 6294315 8392420 10459210 10490525 12551052 12588630 15688815 20918420 20981050 25177260 26148025 31377630 31471575 41962100 52296050 62755260 62943150 70076707 78444075 104592100 125886300 140153414 156888150 210230121 280306828 313776300 350383535 420460242 700767070 840920484 1051150605 1401534140 1751917675 2102301210 3503835350 4204602420 5255753025 7007670700 10511506050 21023012100