Search a number
-
+
10223311013220 = 22353745171019503
BaseRepresentation
bin1001010011000100110011…
…0100100100010101100100
31100012100011010022002211210
42110301030310210111210
52314444320104410340
633424305123031420
72103416114550054
oct224611464442544
940170133262753
1010223311013220
1132917556004a8
12119141a20b570
13592091abc436
14274b4d13b564
1512ade9b5e180
hex94c4cd24564

10223311013220 has 96 divisors (see below), whose sum is σ = 29405464155648. Its totient is φ = 2651944914432.

The previous prime is 10223311013191. The next prime is 10223311013249. The reversal of 10223311013220 is 2231011332201.

It is an interprime number because it is at equal distance from previous prime (10223311013191) and next prime (10223311013249).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9517989 + ... + 10537491.

It is an arithmetic number, because the mean of its divisors is an integer number (306306918288).

Almost surely, 210223311013220 is an apocalyptic number.

10223311013220 is a gapful number since it is divisible by the number (10) 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 10223311013220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14702732077824).

10223311013220 is an abundant number, since it is smaller than the sum of its proper divisors (19182153142428).

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

10223311013220 is a wasteful number, since it uses less digits than its factorization.

10223311013220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1024069 (or 1024067 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

Adding to 10223311013220 its reverse (2231011332201), we get a palindrome (12454322345421).

The spelling of 10223311013220 in words is "ten trillion, two hundred twenty-three billion, three hundred eleven million, thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 4517 9034 13551 18068 22585 27102 45170 54204 67755 90340 135510 167129 271020 334258 501387 668516 835645 1002774 1019503 1671290 2005548 2039006 2506935 3058509 3342580 4078012 5013870 5097515 6117018 10027740 10195030 12234036 15292545 20390060 30585090 37721611 61170180 75443222 113164833 150886444 188608055 226329666 377216110 452659332 565824165 754432220 1131648330 2263296660 4605095051 9210190102 13815285153 18420380204 23025475255 27630570306 46050950510 55261140612 69076425765 92101901020 138152851530 170388516887 276305703060 340777033774 511165550661 681554067548 851942584435 1022331101322 1703885168870 2044662202644 2555827753305 3407770337740 5111655506610 10223311013220