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11204214000 = 243537266767
BaseRepresentation
bin10100110111101001…
…01011110011110000
31001220211201001011220
422123310223303300
5140421234322000
65051441105040
7544436150640
oct123364536360
931824631156
1011204214000
11482a5398a1
122208328180
131097328a35
1478406c520
1545897c1a0
hex29bd2bcf0

11204214000 has 160 divisors (see below), whose sum is σ = 41282881536. Its totient is φ = 2560953600.

The previous prime is 11204213963. The next prime is 11204214011. The reversal of 11204214000 is 41240211.

It is a super-2 number, since 2×112042140002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 91384 + ... + 175383.

Almost surely, 211204214000 is an apocalyptic number.

11204214000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11204214000 is an abundant number, since it is smaller than the sum of its proper divisors (30078667536).

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

11204214000 is a wasteful number, since it uses less digits than its factorization.

11204214000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 266800 (or 266784 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 11204214000 its reverse (41240211), we get a palindrome (11245454211).

The spelling of 11204214000 in words is "eleven billion, two hundred four million, two hundred fourteen thousand".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 35 40 42 48 50 56 60 70 75 80 84 100 105 112 120 125 140 150 168 175 200 210 240 250 280 300 336 350 375 400 420 500 525 560 600 700 750 840 875 1000 1050 1200 1400 1500 1680 1750 2000 2100 2625 2800 3000 3500 4200 5250 6000 7000 8400 10500 14000 21000 42000 266767 533534 800301 1067068 1333835 1600602 1867369 2134136 2667670 3201204 3734738 4001505 4268272 5335340 5602107 6402408 6669175 7469476 8003010 9336845 10670680 11204214 12804816 13338350 14938952 16006020 18673690 20007525 21341360 22408428 26676700 28010535 29877904 32012040 33345875 37347380 40015050 44816856 46684225 53353400 56021070 64024080 66691750 74694760 80030100 89633712 93368450 100037625 106706800 112042140 133383500 140052675 149389520 160060200 186736900 200075250 224084280 233421125 266767000 280105350 320120400 373473800 400150500 448168560 466842250 533534000 560210700 700263375 746947600 800301000 933684500 1120421400 1400526750 1600602000 1867369000 2240842800 2801053500 3734738000 5602107000 11204214000