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10342533100 = 22521731229857
BaseRepresentation
bin10011010000111011…
…01000011111101100
3222200210022010012111
421220131220133230
5132140142024400
64430140213404
7514204036504
oct115035503754
928623263174
1010342533100
1144280aa219
12200783a264
13c8a95aa93
14701848a04
15407ebe3ba
hex2687687ec

10342533100 has 144 divisors (see below), whose sum is σ = 24665921280. Its totient is φ = 3747225600.

The previous prime is 10342533079. The next prime is 10342533109. The reversal of 10342533100 is 133524301.

It is a super-2 number, since 2×103425331002 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (10342533109) 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, 12067872 + ... + 12068728.

It is an arithmetic number, because the mean of its divisors is an integer number (171291120).

Almost surely, 210342533100 is an apocalyptic number.

10342533100 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 10342533100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12332960640).

10342533100 is an abundant number, since it is smaller than the sum of its proper divisors (14323388180).

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

10342533100 is a wasteful number, since it uses less digits than its factorization.

10342533100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1148 (or 1141 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 22.

The spelling of 10342533100 in words is "ten billion, three hundred forty-two million, five hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 17 20 25 31 34 50 62 68 85 100 124 155 170 229 310 340 425 458 527 620 775 850 857 916 1054 1145 1550 1700 1714 2108 2290 2635 3100 3428 3893 4285 4580 5270 5725 7099 7786 8570 10540 11450 13175 14198 14569 15572 17140 19465 21425 22900 26350 26567 28396 29138 35495 38930 42850 52700 53134 58276 70990 72845 77860 85700 97325 106268 120683 132835 141980 145690 177475 194650 196253 241366 265670 291380 354950 364225 389300 392506 451639 482732 531340 603415 664175 709900 728450 785012 903278 981265 1206830 1328350 1456900 1806556 1962530 2258195 2413660 2656700 3017075 3336301 3925060 4516390 4906325 6034150 6083843 6672602 9032780 9812650 11290975 12068300 12167686 13345204 16681505 19625300 22581950 24335372 30419215 33363010 45163900 60838430 66726020 83407525 103425331 121676860 152096075 166815050 206850662 304192150 333630100 413701324 517126655 608384300 1034253310 2068506620 2585633275 5171266550 10342533100