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134343100100 = 2252111722673169
BaseRepresentation
bin111110100011101111…
…0010000011011000100
3110211202121020120221002
41331013132100123010
54200113313200400
6141414422512432
712464101336526
oct1750736203304
9424677216832
10134343100100
1151a7a1a5560
1222053295718
13c88c904951
146706211a16
1537642aced5
hex1f477906c4

134343100100 has 144 divisors (see below), whose sum is σ = 336989056320. Its totient is φ = 45943603200.

The previous prime is 134343100093. The next prime is 134343100103. The reversal of 134343100100 is 1001343431.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (134343100103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 42391316 + ... + 42394484.

It is an arithmetic number, because the mean of its divisors is an integer number (2340201780).

Almost surely, 2134343100100 is an apocalyptic number.

134343100100 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 134343100100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168494528160).

134343100100 is an abundant number, since it is smaller than the sum of its proper divisors (202645956220).

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

134343100100 is a wasteful number, since it uses less digits than its factorization.

134343100100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5478 (or 5471 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 20.

Adding to 134343100100 its reverse (1001343431), we get a palindrome (135344443531).

The spelling of 134343100100 in words is "one hundred thirty-four billion, three hundred forty-three million, one hundred thousand, one hundred".

Divisors: 1 2 4 5 10 11 17 20 22 25 34 44 50 55 68 85 100 110 170 187 220 275 340 374 425 550 748 850 935 1100 1700 1870 2267 3169 3740 4534 4675 6338 9068 9350 11335 12676 15845 18700 22670 24937 31690 34859 38539 45340 49874 53873 56675 63380 69718 77078 79225 99748 107746 113350 124685 139436 154156 158450 174295 192695 215492 226700 249370 269365 316900 348590 385390 423929 498740 538730 592603 623425 697180 770780 847858 871475 963475 1077460 1185206 1246850 1346825 1695716 1742950 1926950 2119645 2370412 2493700 2693650 2963015 3485900 3853900 4239290 5387300 5926030 7184123 8478580 10598225 11852060 14368246 14815075 21196450 28736492 29630150 35920615 42392900 59260300 71841230 79025353 122130091 143682460 158050706 179603075 244260182 316101412 359206150 395126765 488520364 610650455 718412300 790253530 1221300910 1343431001 1580507060 1975633825 2442601820 2686862002 3053252275 3951267650 5373724004 6106504550 6717155005 7902535300 12213009100 13434310010 26868620020 33585775025 67171550050 134343100100