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23311231000 = 23531271731061
BaseRepresentation
bin10101101101011101…
…010010100000011000
32020011121012020020221
4111231131102200120
5340220133343000
614413052325424
71453450123411
oct255535224030
966147166227
1023311231000
119982644972
124626a73874
1322766bcc15
1411b1d86808
159167db61a
hex56d752818

23311231000 has 128 divisors (see below), whose sum is σ = 55347701760. Its totient is φ = 9188928000.

The previous prime is 23311230997. The next prime is 23311231001. The reversal of 23311231000 is 13211332.

It is a super-2 number, since 2×233112310002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23311231001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21970470 + ... + 21971530.

It is an arithmetic number, because the mean of its divisors is an integer number (432403920).

Almost surely, 223311231000 is an apocalyptic number.

23311231000 is a gapful number since it is divisible by the number (20) 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 23311231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27673850880).

23311231000 is an abundant number, since it is smaller than the sum of its proper divisors (32036470760).

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

23311231000 is a wasteful number, since it uses less digits than its factorization.

23311231000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1382 (or 1368 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 23311231000 its reverse (13211332), we get a palindrome (23324442332).

The spelling of 23311231000 in words is "twenty-three billion, three hundred eleven million, two hundred thirty-one thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 127 173 200 250 254 346 500 508 635 692 865 1000 1016 1061 1270 1384 1730 2122 2540 3175 3460 4244 4325 5080 5305 6350 6920 8488 8650 10610 12700 15875 17300 21220 21625 21971 25400 26525 31750 34600 42440 43250 43942 53050 63500 86500 87884 106100 109855 127000 132625 134747 173000 175768 183553 212200 219710 265250 269494 367106 439420 530500 538988 549275 673735 734212 878840 917765 1061000 1077976 1098550 1347470 1468424 1835530 2197100 2694940 2746375 3368675 3671060 4394200 4588825 5389880 5492750 6737350 7342120 9177650 10985500 13474700 16843375 18355300 21971000 22944125 23311231 26949400 33686750 36710600 45888250 46622462 67373500 91776500 93244924 116556155 134747000 183553000 186489848 233112310 466224620 582780775 932449240 1165561550 2331123100 2913903875 4662246200 5827807750 11655615500 23311231000