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11342011120 = 2451114986501
BaseRepresentation
bin10101001000000100…
…10101101011110000
31002021102222212021221
422210002111223300
5141212023323440
65113242354424
7551031334546
oct124402255360
932242885257
1011342011120
1148a02a6910
1222464bba14
1310b9a444ab
1479849bd96
15465aead4a
hex2a4095af0

11342011120 has 80 divisors (see below), whose sum is σ = 28960869600. Its totient is φ = 4096640000.

The previous prime is 11342011111. The next prime is 11342011147. The reversal of 11342011120 is 2111024311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 11342011094 and 11342011103.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87870 + ... + 174370.

It is an arithmetic number, because the mean of its divisors is an integer number (362010870).

Almost surely, 211342011120 is an apocalyptic number.

11342011120 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 11342011120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14480434800).

11342011120 is an abundant number, since it is smaller than the sum of its proper divisors (17618858480).

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

11342011120 is a wasteful number, since it uses less digits than its factorization.

11342011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86674 (or 86668 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 11342011120 its reverse (2111024311), we get a palindrome (13453035431).

The spelling of 11342011120 in words is "eleven billion, three hundred forty-two million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 149 176 220 298 440 596 745 880 1192 1490 1639 2384 2980 3278 5960 6556 8195 11920 13112 16390 26224 32780 65560 86501 131120 173002 346004 432505 692008 865010 951511 1384016 1730020 1903022 3460040 3806044 4757555 6920080 7612088 9515110 12888649 15224176 19030220 25777298 38060440 51554596 64443245 76120880 103109192 128886490 141775139 206218384 257772980 283550278 515545960 567100556 708875695 1031091920 1134201112 1417751390 2268402224 2835502780 5671005560 11342011120