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34110511900 = 225217191056053
BaseRepresentation
bin11111110001001001…
…010001101100011100
310021001012221112122121
4133301021101230130
51024324242340100
623400430352324
72315201365363
oct376111215434
9107035845577
1034110511900
1113514549503
12673b65b6a4
1332a7b6ab6a
1419183287da
15d4992d51a
hex7f1251b1c

34110511900 has 72 divisors (see below), whose sum is σ = 82498938480. Its totient is φ = 12165719040.

The previous prime is 34110511879. The next prime is 34110511937. The reversal of 34110511900 is 911501143.

It is a super-2 number, since 2×341105119002 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 495727 + ... + 560326.

It is an arithmetic number, because the mean of its divisors is an integer number (1145818590).

Almost surely, 234110511900 is an apocalyptic number.

It is an amenable number.

34110511900 is an abundant number, since it is smaller than the sum of its proper divisors (48388426580).

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

34110511900 is a wasteful number, since it uses less digits than its factorization.

34110511900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1056103 (or 1056096 counting only the distinct ones).

The product of its (nonzero) digits is 540, while the sum is 25.

The spelling of 34110511900 in words is "thirty-four billion, one hundred ten million, five hundred eleven thousand, nine hundred".

Divisors: 1 2 4 5 10 17 19 20 25 34 38 50 68 76 85 95 100 170 190 323 340 380 425 475 646 850 950 1292 1615 1700 1900 3230 6460 8075 16150 32300 1056053 2112106 4224212 5280265 10560530 17952901 20065007 21121060 26401325 35905802 40130014 52802650 71811604 80260028 89764505 100325035 105605300 179529010 200650070 341105119 359058020 401300140 448822525 501625175 682210238 897645050 1003250350 1364420476 1705525595 1795290100 2006500700 3411051190 6822102380 8527627975 17055255950 34110511900