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11212103540 = 22511294142863
BaseRepresentation
bin10100111000100101…
…10001111101110100
31001221101112212121002
422130102301331310
5140430244303130
65052322142432
7544563210341
oct123422617564
931841485532
1011212103540
114833a38380
12220aab1a18
131098b5bac1
147851237c8
154594d9b45
hex29c4b1f74

11212103540 has 96 divisors (see below), whose sum is σ = 27220354560. Its totient is φ = 3840435200.

The previous prime is 11212103501. The next prime is 11212103557. The reversal of 11212103540 is 4530121211.

It is a super-2 number, since 2×112121035402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 240149 + ... + 283011.

It is an arithmetic number, because the mean of its divisors is an integer number (283545360).

Almost surely, 211212103540 is an apocalyptic number.

11212103540 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 11212103540, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13610177280).

11212103540 is an abundant number, since it is smaller than the sum of its proper divisors (16008251020).

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

11212103540 is a wasteful number, since it uses less digits than its factorization.

11212103540 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42953 (or 42951 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 20.

Adding to 11212103540 its reverse (4530121211), we get a palindrome (15742224751).

The spelling of 11212103540 in words is "eleven billion, two hundred twelve million, one hundred three thousand, five hundred forty".

Divisors: 1 2 4 5 10 11 20 22 29 41 44 55 58 82 110 116 145 164 205 220 290 319 410 451 580 638 820 902 1189 1276 1595 1804 2255 2378 3190 4510 4756 5945 6380 9020 11890 13079 23780 26158 42863 52316 65395 85726 130790 171452 214315 261580 428630 471493 857260 942986 1243027 1757383 1885972 2357465 2486054 3514766 4714930 4972108 6215135 7029532 8786915 9429860 12430270 13673297 17573830 19331213 24860540 27346594 35147660 38662426 50964107 54693188 68366485 77324852 96656065 101928214 136732970 193312130 203856428 254820535 273465940 386624260 509641070 560605177 1019282140 1121210354 2242420708 2803025885 5606051770 11212103540