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11242540300 = 22521723417013
BaseRepresentation
bin10100111100001101…
…11000110100001100
31002000111211012222111
422132012320310030
5141011042242200
65055330353404
7545413005265
oct123606706414
932014735874
1011242540300
11484a136a22
12221912b864
1310a2257814
147891a796c
1545beed0ba
hex29e1b8d0c

11242540300 has 144 divisors (see below), whose sum is σ = 27615857472. Its totient is φ = 3949158400.

The previous prime is 11242540271. The next prime is 11242540327. The reversal of 11242540300 is 304524211.

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, 1599594 + ... + 1606606.

It is an arithmetic number, because the mean of its divisors is an integer number (191776788).

Almost surely, 211242540300 is an apocalyptic number.

11242540300 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 11242540300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13807928736).

11242540300 is an abundant number, since it is smaller than the sum of its proper divisors (16373317172).

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

11242540300 is a wasteful number, since it uses less digits than its factorization.

11242540300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7108 (or 7101 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The spelling of 11242540300 in words is "eleven billion, two hundred forty-two million, five hundred forty thousand, three hundred".

Divisors: 1 2 4 5 10 17 20 23 25 34 41 46 50 68 82 85 92 100 115 164 170 205 230 340 391 410 425 460 575 697 782 820 850 943 1025 1150 1394 1564 1700 1886 1955 2050 2300 2788 3485 3772 3910 4100 4715 6970 7013 7820 9430 9775 13940 14026 16031 17425 18860 19550 23575 28052 32062 34850 35065 39100 47150 64124 69700 70130 80155 94300 119221 140260 160310 161299 175325 238442 287533 320620 322598 350650 400775 476884 575066 596105 645196 701300 801550 806495 1150132 1192210 1437665 1603100 1612990 2384420 2742083 2875330 2980525 3225980 4032475 4888061 5484166 5750660 5961050 6613259 7188325 8064950 9776122 10968332 11922100 13226518 13710415 14376650 16129900 19552244 24440305 26453036 27420830 28753300 33066295 48880610 54841660 66132590 68552075 97761220 112425403 122201525 132265180 137104150 165331475 224850806 244403050 274208300 330662950 449701612 488806100 562127015 661325900 1124254030 2248508060 2810635075 5621270150 11242540300