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11312130420 = 22325417432063
BaseRepresentation
bin10101000100100000…
…10110100101110100
31002012100202202200100
422202100112211310
5141131401133140
65110254114100
7550216344033
oct124220264564
932170682610
1011312130420
114885448018
1222384ab930
1310b37b18c6
1479452071a
15463197530
hex2a2416974

11312130420 has 144 divisors (see below), whose sum is σ = 35214746112. Its totient is φ = 2937607680.

The previous prime is 11312130413. The next prime is 11312130517. The reversal of 11312130420 is 2403121311.

11312130420 is a `hidden beast` number, since 1 + 1 + 31 + 213 + 0 + 420 = 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 = 11312130393 and 11312130402.

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, 5482309 + ... + 5484371.

It is an arithmetic number, because the mean of its divisors is an integer number (244546848).

Almost surely, 211312130420 is an apocalyptic number.

11312130420 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 11312130420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17607373056).

11312130420 is an abundant number, since it is smaller than the sum of its proper divisors (23902615692).

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

11312130420 is a wasteful number, since it uses less digits than its factorization.

11312130420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2862 (or 2857 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

Adding to 11312130420 its reverse (2403121311), we get a palindrome (13715251731).

The spelling of 11312130420 in words is "eleven billion, three hundred twelve million, one hundred thirty thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 41 45 60 82 90 123 164 180 205 246 369 410 492 615 738 743 820 1230 1476 1486 1845 2063 2229 2460 2972 3690 3715 4126 4458 6189 6687 7380 7430 8252 8916 10315 11145 12378 13374 14860 18567 20630 22290 24756 26748 30463 30945 33435 37134 41260 44580 60926 61890 66870 74268 84583 91389 92835 121852 123780 133740 152315 169166 182778 185670 253749 274167 304630 338332 365556 371340 422915 456945 507498 548334 609260 761247 845830 913890 1014996 1096668 1268745 1370835 1522494 1532809 1691660 1827780 2537490 2741670 3044988 3065618 3806235 4598427 5074980 5483340 6131236 7612470 7664045 9196854 13795281 15224940 15328090 18393708 22992135 27590562 30656180 45984270 55181124 62845169 68976405 91968540 125690338 137952810 188535507 251380676 275905620 314225845 377071014 565606521 628451690 754142028 942677535 1131213042 1256903380 1885355070 2262426084 2828032605 3770710140 5656065210 11312130420