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72012103230 = 235231372812711
BaseRepresentation
bin100001100010001000…
…0010111111000111110
320212212122110212121110
41003010100113320332
52134440044300410
653025405142450
75126345530554
oct1030420277076
9225778425543
1072012103230
11285a3a56001
1211b5885aa26
136a3826b992
1436b1d41bd4
151d170b4720
hex10c4417e3e

72012103230 has 128 divisors (see below), whose sum is σ = 182373451776. Its totient is φ = 18162636800.

The previous prime is 72012103147. The next prime is 72012103297. The reversal of 72012103230 is 3230121027.

It is a junction number, because it is equal to n+sod(n) for n = 72012103197 and 72012103206.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26561575 + ... + 26564285.

It is an arithmetic number, because the mean of its divisors is an integer number (1424792592).

Almost surely, 272012103230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 72012103230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91186725888).

72012103230 is an abundant number, since it is smaller than the sum of its proper divisors (110361348546).

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

72012103230 is a wasteful number, since it uses less digits than its factorization.

72012103230 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3162.

The product of its (nonzero) digits is 504, while the sum is 21.

Adding to 72012103230 its reverse (3230121027), we get a palindrome (75242224257).

The spelling of 72012103230 in words is "seventy-two billion, twelve million, one hundred three thousand, two hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 46 69 115 137 138 230 274 281 345 411 562 685 690 822 843 1370 1405 1686 2055 2711 2810 3151 4110 4215 5422 6302 6463 8133 8430 9453 12926 13555 15755 16266 18906 19389 27110 31510 32315 38497 38778 40665 47265 62353 64630 76994 81330 94530 96945 115491 124706 187059 192485 193890 230982 311765 371407 374118 384970 577455 623530 742814 761791 885431 935295 1114221 1154910 1523582 1770862 1857035 1870590 2228442 2285373 2656293 3714070 3808955 4427155 4570746 5312586 5571105 7617910 8542361 8854310 11142210 11426865 13281465 17084722 17521193 22853730 25627083 26562930 35042386 42711805 51254166 52563579 85423610 87605965 104365367 105127158 128135415 175211930 208730734 256270830 262817895 313096101 521826835 525635790 626192202 1043653670 1565480505 2400403441 3130961010 4800806882 7201210323 12002017205 14402420646 24004034410 36006051615 72012103230