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2034103003100 = 225274773846943
BaseRepresentation
bin11101100110011001111…
…111001010011111011100
321012110101010122220110222
4131212121333022133130
5231311320332044400
64154242022420512
7266646653151050
oct35463177123734
97173333586428
102034103003100
11714727130873
1228a280b91738
13119a799a354c
1470645bc1c60
1537da1e26185
hex1d999fca7dc

2034103003100 has 144 divisors (see below), whose sum is σ = 5222487072768. Its totient is φ = 673217256960.

The previous prime is 2034103003081. The next prime is 2034103003109. The reversal of 2034103003100 is 13003014302.

It is a happy number.

It is a super-2 number, since 2×20341030031002 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2034103003109) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1978229 + ... + 2825171.

Almost surely, 22034103003100 is an apocalyptic number.

2034103003100 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 2034103003100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2611243536384).

2034103003100 is an abundant number, since it is smaller than the sum of its proper divisors (3188384069668).

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

2034103003100 is a wasteful number, since it uses less digits than its factorization.

2034103003100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 847084 (or 847077 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 17.

Adding to 2034103003100 its reverse (13003014302), we get a palindrome (2047106017402).

The spelling of 2034103003100 in words is "two trillion, thirty-four billion, one hundred three million, three thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 47 50 70 73 94 100 140 146 175 188 235 292 329 350 365 470 511 658 700 730 940 1022 1175 1316 1460 1645 1825 2044 2350 2555 3290 3431 3650 4700 5110 6580 6862 7300 8225 10220 12775 13724 16450 17155 24017 25550 32900 34310 48034 51100 68620 85775 96068 120085 171550 240170 343100 480340 600425 846943 1200850 1693886 2401700 3387772 4234715 5928601 8469430 11857202 16938860 21173575 23714404 29643005 39806321 42347150 59286010 61826839 79612642 84694300 118572020 123653678 148215025 159225284 199031605 247307356 278644247 296430050 309134195 398063210 432787873 557288494 592860100 618268390 796126420 865575746 995158025 1114576988 1236536780 1393221235 1545670975 1731151492 1990316050 2163939365 2786442470 2905861433 3091341950 3980632100 4327878730 5572884940 5811722866 6182683900 6966106175 8655757460 10819696825 11623445732 13932212350 14529307165 20341030031 21639393650 27864424700 29058614330 40682060062 43278787300 58117228660 72646535825 81364120124 101705150155 145293071650 203410300310 290586143300 406820600620 508525750775 1017051501550 2034103003100