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11125011420 = 2235519911503
BaseRepresentation
bin10100101110001101…
…00011001111011100
31001201022200010200000
422113012203033130
5140241000331140
65035531334300
7542455015425
oct122706431734
931638603600
1011125011420
114799862816
1221a58b1390
131083ab75c3
1477773264c
15451a34a30
hex2971a33dc

11125011420 has 144 divisors (see below), whose sum is σ = 35174630400. Its totient is φ = 2951505216.

The previous prime is 11125011409. The next prime is 11125011439. The reversal of 11125011420 is 2411052111.

11125011420 is a `hidden beast` number, since 11 + 12 + 501 + 142 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11125011393 and 11125011402.

It is a congruent number.

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, 961389 + ... + 972891.

Almost surely, 211125011420 is an apocalyptic number.

11125011420 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 11125011420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17587315200).

11125011420 is an abundant number, since it is smaller than the sum of its proper divisors (24049618980).

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

11125011420 is a wasteful number, since it uses less digits than its factorization.

11125011420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11726 (or 11712 counting only the distinct ones).

The product of its (nonzero) digits is 80, while the sum is 18.

Adding to 11125011420 its reverse (2411052111), we get a palindrome (13536063531).

The spelling of 11125011420 in words is "eleven billion, one hundred twenty-five million, eleven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 199 243 270 324 398 405 486 540 597 796 810 972 995 1194 1215 1620 1791 1990 2388 2430 2985 3582 3980 4860 5373 5970 7164 8955 10746 11503 11940 16119 17910 21492 23006 26865 32238 34509 35820 46012 48357 53730 57515 64476 69018 80595 96714 103527 107460 115030 138036 161190 172545 193428 207054 230060 241785 310581 322380 345090 414108 483570 517635 621162 690180 931743 967140 1035270 1242324 1552905 1863486 2070540 2289097 2795229 3105810 3726972 4578194 4658715 5590458 6211620 6867291 9156388 9317430 11180916 11445485 13734582 13976145 18634860 20601873 22890970 27469164 27952290 34336455 41203746 45781940 55904580 61805619 68672910 82407492 103009365 123611238 137345820 185416857 206018730 247222476 309028095 370833714 412037460 556250571 618056190 741667428 927084285 1112501142 1236112380 1854168570 2225002284 2781252855 3708337140 5562505710 11125011420