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100302300030 = 23547731277673
BaseRepresentation
bin101110101101001111…
…0111010001101111110
3100120220020110202221010
41131122132322031332
53120404342100110
6114024522220050
710150404324462
oct1353236721576
9316806422833
10100302300030
11395a1040639
1217533054626
1395c63343ba
144bd72724a2
152920a50020
hex175a7ba37e

100302300030 has 128 divisors (see below), whose sum is σ = 251210170368. Its totient is φ = 25612941312.

The previous prime is 100302300019. The next prime is 100302300067. The reversal of 100302300030 is 30003203001.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 100302299979 and 100302300015.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13068274 + ... + 13075946.

It is an arithmetic number, because the mean of its divisors is an integer number (1962579456).

Almost surely, 2100302300030 is an apocalyptic number.

100302300030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 100302300030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125605085184).

100302300030 is an abundant number, since it is smaller than the sum of its proper divisors (150907870338).

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

100302300030 is a wasteful number, since it uses less digits than its factorization.

100302300030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7930.

The product of its (nonzero) digits is 54, while the sum is 12.

Adding to 100302300030 its reverse (30003203001), we get a palindrome (130305503031).

The spelling of 100302300030 in words is "one hundred billion, three hundred two million, three hundred thousand, thirty".

Divisors: 1 2 3 5 6 10 15 30 47 73 94 127 141 146 219 235 254 282 365 381 438 470 635 705 730 762 1095 1270 1410 1905 2190 3431 3810 5969 6862 7673 9271 10293 11938 15346 17155 17907 18542 20586 23019 27813 29845 34310 35814 38365 46038 46355 51465 55626 59690 76730 89535 92710 102930 115095 139065 179070 230190 278130 360631 435737 560129 721262 871474 974471 1081893 1120258 1307211 1680387 1803155 1948942 2163786 2178685 2614422 2800645 2923413 3360774 3606310 4357370 4872355 5409465 5601290 5846826 6536055 8401935 9744710 10818930 13072110 14617065 16803870 26326063 29234130 45800137 52652126 71136383 78978189 91600274 131630315 137400411 142272766 157956378 213409149 229000685 263260630 274800822 355681915 394890945 426818298 458001370 687002055 711363830 789781890 1067045745 1374004110 2134091490 3343410001 6686820002 10030230003 16717050005 20060460006 33434100010 50151150015 100302300030