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11211121020 = 22351129585743
BaseRepresentation
bin10100111000011110…
…00010000101111100
31001221022200221211110
422130033002011330
5140430021333040
65052245122020
7544551646011
oct123417020574
931838627743
1011211121020
114833427180
12220a6b9310
1310988a6828
14784d49708
15459393980
hex29c3c217c

11211121020 has 96 divisors (see below), whose sum is σ = 35425797120. Its totient is φ = 2624124160.

The previous prime is 11211121003. The next prime is 11211121063. The reversal of 11211121020 is 2012111211.

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

It is a junction number, because it is equal to n+sod(n) for n = 11211120987 and 11211121005.

It is a congruent number.

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, 273732 + ... + 312011.

It is an arithmetic number, because the mean of its divisors is an integer number (369018720).

Almost surely, 211211121020 is an apocalyptic number.

11211121020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11211121020 is an abundant number, since it is smaller than the sum of its proper divisors (24214676100).

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

11211121020 is a wasteful number, since it uses less digits than its factorization.

11211121020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 585795 (or 585793 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 11211121020 its reverse (2012111211), we get a palindrome (13223232231).

It can be divided in two parts, 11211 and 121020, that added together give a palindrome (132231).

The spelling of 11211121020 in words is "eleven billion, two hundred eleven million, one hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 29 30 33 44 55 58 60 66 87 110 116 132 145 165 174 220 290 319 330 348 435 580 638 660 870 957 1276 1595 1740 1914 3190 3828 4785 6380 9570 19140 585743 1171486 1757229 2342972 2928715 3514458 5857430 6443173 7028916 8786145 11714860 12886346 16986547 17572290 19329519 25772692 32215865 33973094 35144580 38659038 50959641 64431730 67946188 77318076 84932735 96647595 101919282 128863460 169865470 186852017 193295190 203838564 254798205 339730940 373704034 386590380 509596410 560556051 747408068 934260085 1019192820 1121112102 1868520170 2242224204 2802780255 3737040340 5605560510 11211121020