Search a number
-
+
10011120011120 = 245237823695491
BaseRepresentation
bin1001000110101110010101…
…0000001000011101110000
31022110001110011111100101002
42101223211100020131300
52303010233210323440
633143013421301132
72052164613025634
oct221534520103560
938401404440332
1010011120011120
11320a768290a58
12115827ba047a8
13578076bb1b67
1426877dd1cdc4
1512562b2db115
hex91ae5408770

10011120011120 has 80 divisors (see below), whose sum is σ = 24290987277312. Its totient is φ = 3829846437120.

The previous prime is 10011120011099. The next prime is 10011120011131. The reversal of 10011120011120 is 2111002111001.

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

It is a super-3 number, since 3×100111200111203 (a number of 40 digits) contains 333 as substring.

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, 14046575 + ... + 14742065.

Almost surely, 210011120011120 is an apocalyptic number.

10011120011120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10011120011120 is an abundant number, since it is smaller than the sum of its proper divisors (14279867266192).

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

10011120011120 is a wasteful number, since it uses less digits than its factorization.

10011120011120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 703350 (or 703344 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 11.

Adding to 10011120011120 its reverse (2111002111001), we get a palindrome (12122122122121).

The spelling of 10011120011120 in words is "ten trillion, eleven billion, one hundred twenty million, eleven thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 40 46 80 92 115 184 230 368 460 920 1840 7823 15646 31292 39115 62584 78230 125168 156460 179929 312920 359858 625840 695491 719716 899645 1390982 1439432 1799290 2781964 2878864 3477455 3598580 5563928 6954910 7197160 11127856 13909820 14394320 15996293 27819640 31992586 55639280 63985172 79981465 127970344 159962930 255940688 319925860 639851720 1279703440 5440826093 10881652186 21763304372 27204130465 43526608744 54408260930 87053217488 108816521860 125139000139 217633043720 250278000278 435266087440 500556000556 625695000695 1001112001112 1251390001390 2002224002224 2502780002780 5005560005560 10011120011120