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11134360500 = 2235361121687
BaseRepresentation
bin10100101111010100…
…01101101110110100
31001201222021010012020
422113222031232310
5140300344014000
65040503553140
7542630334264
oct122752155664
931658233166
1011134360500
1147a406892a
1221a8a5b7b0
131085a0bac3
14778a877a4
1545277eba0
hex297a8dbb4

11134360500 has 96 divisors (see below), whose sum is σ = 32955057408. Its totient is φ = 2920464000.

The previous prime is 11134360499. The next prime is 11134360541. The reversal of 11134360500 is 506343111.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 30657 + ... + 152343.

It is an arithmetic number, because the mean of its divisors is an integer number (343281848).

Almost surely, 211134360500 is an apocalyptic number.

11134360500 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 11134360500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16477528704).

11134360500 is an abundant number, since it is smaller than the sum of its proper divisors (21820696908).

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

11134360500 is a wasteful number, since it uses less digits than its factorization.

11134360500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121770 (or 121758 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

The spelling of 11134360500 in words is "eleven billion, one hundred thirty-four million, three hundred sixty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 61 75 100 122 125 150 183 244 250 300 305 366 375 500 610 732 750 915 1220 1500 1525 1830 3050 3660 4575 6100 7625 9150 15250 18300 22875 30500 45750 91500 121687 243374 365061 486748 608435 730122 1216870 1460244 1825305 2433740 3042175 3650610 6084350 7301220 7422907 9126525 12168700 14845814 15210875 18253050 22268721 29691628 30421750 36506100 37114535 44537442 45632625 60843500 74229070 89074884 91265250 111343605 148458140 182530500 185572675 222687210 371145350 445374420 556718025 742290700 927863375 1113436050 1855726750 2226872100 2783590125 3711453500 5567180250 11134360500