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11123213400 = 23325213475351
BaseRepresentation
bin10100101101111111…
…01100010001011000
31001201012021210020200
422112333230101120
5140240020312100
65035425022200
7542433516405
oct122677542130
931635253220
1011123213400
114798844952
1221a5184960
1310836080a0
147773c52ac
154517cbe00
hex296fec458

11123213400 has 144 divisors (see below), whose sum is σ = 40229039760. Its totient is φ = 2738016000.

The previous prime is 11123213369. The next prime is 11123213461. The reversal of 11123213400 is 431232111.

11123213400 is a `hidden beast` number, since 1 + 1 + 1 + 2 + 321 + 340 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 214276 + ... + 261075.

Almost surely, 211123213400 is an apocalyptic number.

11123213400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11123213400 is an abundant number, since it is smaller than the sum of its proper divisors (29105826360).

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

11123213400 is a wasteful number, since it uses less digits than its factorization.

11123213400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 475386 (or 475374 counting only the distinct ones).

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

Adding to 11123213400 its reverse (431232111), we get a palindrome (11554445511).

The spelling of 11123213400 in words is "eleven billion, one hundred twenty-three million, two hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 13 15 18 20 24 25 26 30 36 39 40 45 50 52 60 65 72 75 78 90 100 104 117 120 130 150 156 180 195 200 225 234 260 300 312 325 360 390 450 468 520 585 600 650 780 900 936 975 1170 1300 1560 1800 1950 2340 2600 2925 3900 4680 5850 7800 11700 23400 475351 950702 1426053 1901404 2376755 2852106 3802808 4278159 4753510 5704212 6179563 7130265 8556318 9507020 11408424 11883775 12359126 14260530 17112636 18538689 19014040 21390795 23767550 24718252 28521060 30897815 34225272 35651325 37077378 42781590 47535100 49436504 55616067 57042120 61795630 71302650 74154756 85563180 92693445 95070200 106953975 111232134 123591260 142605300 148309512 154489075 171126360 185386890 213907950 222464268 247182520 278080335 285210600 308978150 370773780 427815900 444928536 463467225 556160670 617956300 741547560 855631800 926934450 1112321340 1235912600 1390401675 1853868900 2224642680 2780803350 3707737800 5561606700 11123213400