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34111220110000 = 245411228191091
BaseRepresentation
bin1111100000110001000110…
…01010000101001010110000
311110210000000120122110001121
413300120203022011022300
513432334234322010000
6200314251142112024
710120311555625645
oct760304312051260
9143700016573047
1034111220110000
11a96153a524500
1239aab9671b614
13160589c44a557
1485cdc5955dcc
153e24a003ab1a
hex1f06232852b0

34111220110000 has 150 divisors (see below), whose sum is σ = 90777092278796. Its totient is φ = 12404079600000.

The previous prime is 34111220109949. The next prime is 34111220110001. The reversal of 34111220110000 is 1102211143.

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 (34111220110001) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 12885546 + ... + 15305545.

Almost surely, 234111220110000 is an apocalyptic number.

It is an amenable number.

34111220110000 is an abundant number, since it is smaller than the sum of its proper divisors (56665872168796).

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

34111220110000 is a wasteful number, since it uses less digits than its factorization.

34111220110000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28191141 (or 28191109 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 16.

Adding to 34111220110000 its reverse (1102211143), we get a palindrome (34112322321143).

The spelling of 34111220110000 in words is "thirty-four trillion, one hundred eleven billion, two hundred twenty million, one hundred ten thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 121 125 176 200 220 242 250 275 400 440 484 500 550 605 625 880 968 1000 1100 1210 1250 1375 1936 2000 2200 2420 2500 2750 3025 4400 4840 5000 5500 6050 6875 9680 10000 11000 12100 13750 15125 22000 24200 27500 30250 48400 55000 60500 75625 110000 121000 151250 242000 302500 605000 1210000 28191091 56382182 112764364 140955455 225528728 281910910 310102001 451057456 563821820 620204002 704777275 1127643640 1240408004 1409554550 1550510005 2255287280 2480816008 2819109100 3101020010 3411122011 3523886375 4961632016 5638218200 6202040020 6822244022 7047772750 7752550025 11276436400 12404080040 13644488044 14095545500 15505100050 17055610055 17619431875 24808160080 27288976088 28191091000 31010200100 34111220110 35238863750 38762750125 54577952176 56382182000 62020400200 68222440220 70477727500 77525500250 85278050275 124040800400 136444880440 140955455000 155051000500 170556100550 193813750625 272889760880 281910910000 310102001000 341112201100 387627501250 426390251375 620204002000 682224402200 775255002500 852780502750 1364448804400 1550510005000 1705561005500 2131951256875 3101020010000 3411122011000 4263902513750 6822244022000 8527805027500 17055610055000 34111220110000