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112131034000 = 2453592413943
BaseRepresentation
bin110100001101110000…
…1111100101110010000
3101201102121022201110021
41220123201330232100
53314121021042000
6123302353113224
711046466030366
oct1503341745620
9351377281407
10112131034000
1143611055537
1219894558814
13a75cb6257b
1455da22b636
152db424011a
hex1a1b87cb90

112131034000 has 160 divisors (see below), whose sum is σ = 276942631680. Its totient is φ = 43898112000.

The previous prime is 112131033961. The next prime is 112131034003. The reversal of 112131034000 is 430131211.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (112131034003) 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, 28436029 + ... + 28439971.

It is an arithmetic number, because the mean of its divisors is an integer number (1730891448).

Almost surely, 2112131034000 is an apocalyptic number.

112131034000 is a gapful number since it is divisible by the number (10) 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 112131034000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138471315840).

112131034000 is an abundant number, since it is smaller than the sum of its proper divisors (164811597680).

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

112131034000 is a wasteful number, since it uses less digits than its factorization.

112131034000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4266 (or 4250 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 112131034000 its reverse (430131211), we get a palindrome (112561165211).

The spelling of 112131034000 in words is "one hundred twelve billion, one hundred thirty-one million, thirty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 59 80 100 118 125 200 236 241 250 295 400 472 482 500 590 944 964 1000 1180 1205 1475 1928 2000 2360 2410 2950 3856 3943 4720 4820 5900 6025 7375 7886 9640 11800 12050 14219 14750 15772 19280 19715 23600 24100 28438 29500 30125 31544 39430 48200 56876 59000 60250 63088 71095 78860 96400 98575 113752 118000 120500 142190 157720 197150 227504 232637 241000 284380 315440 355475 394300 465274 482000 492875 568760 710950 788600 930548 950263 985750 1137520 1163185 1421900 1577200 1777375 1861096 1900526 1971500 2326370 2843800 3554750 3722192 3801052 3943000 4652740 4751315 5687600 5815925 7109500 7602104 7886000 9305480 9502630 11631850 14219000 15204208 18610960 19005260 23263700 23756575 28438000 29079625 38010520 46527400 47513150 56065517 58159250 76021040 93054800 95026300 112131034 116318500 118782875 190052600 224262068 232637000 237565750 280327585 380105200 448524136 465274000 475131500 560655170 897048272 950263000 1121310340 1401637925 1900526000 2242620680 2803275850 4485241360 5606551700 7008189625 11213103400 14016379250 22426206800 28032758500 56065517000 112131034000