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31111012131300 = 223252163212072339
BaseRepresentation
bin1110001001011100110001…
…10100111010000111100100
311002011011221221000202110200
413010232120310322013210
513034210323101200200
6150100111320550500
76360460611603633
oct704563064720744
9132134857022420
1031111012131300
119a05119316302
1235a5633022430
1314489a97cb83a
14797ad11a151a
1538e407413800
hex1c4b98d3a1e4

31111012131300 has 108 divisors (see below), whose sum is σ = 98113995666960. Its totient is φ = 8245372501440.

The previous prime is 31111012131239. The next prime is 31111012131317. The reversal of 31111012131300 is 313121011113.

31111012131300 is a `hidden beast` number, since 311 + 1 + 1 + 0 + 1 + 21 + 31 + 300 = 666.

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

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, 105889470 + ... + 106182869.

Almost surely, 231111012131300 is an apocalyptic number.

31111012131300 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

31111012131300 is an abundant number, since it is smaller than the sum of its proper divisors (67002983535660).

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

31111012131300 is a wasteful number, since it uses less digits than its factorization.

31111012131300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 212072522 (or 212072512 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 18.

Adding to 31111012131300 its reverse (313121011113), we get a palindrome (31424133142413).

The spelling of 31111012131300 in words is "thirty-one trillion, one hundred eleven billion, twelve million, one hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 150 163 180 225 300 326 450 489 652 815 900 978 1467 1630 1956 2445 2934 3260 4075 4890 5868 7335 8150 9780 12225 14670 16300 24450 29340 36675 48900 73350 146700 212072339 424144678 636217017 848289356 1060361695 1272434034 1908651051 2120723390 2544868068 3181085085 3817302102 4241446780 5301808475 6362170170 7634604204 9543255255 10603616950 12724340340 15905425425 19086510510 21207233900 31810850850 34567791257 38173021020 47716276275 63621701700 69135582514 95432552550 103703373771 138271165028 172838956285 190865105100 207406747542 311110121313 345677912570 414813495084 518516868855 622220242626 691355825140 864194781425 1037033737710 1244440485252 1555550606565 1728389562850 2074067475420 2592584344275 3111101213130 3456779125700 5185168688550 6222202426260 7777753032825 10370337377100 15555506065650 31111012131300