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1013431502124 = 22321743139277051
BaseRepresentation
bin11101011111101010011…
…10011000010100101100
310120212211210011102120200
432233311032120110230
5113101001431031444
62053321454113500
7133134530431236
oct16576516302454
93525753142520
101013431502124
11360880732278
121444b01ab890
1374748b8b732
143709c217256
151b565a00969
hexebf539852c

1013431502124 has 144 divisors (see below), whose sum is σ = 2795476844160. Its totient is φ = 308310105600.

The previous prime is 1013431502101. The next prime is 1013431502137. The reversal of 1013431502124 is 4212051343101.

1013431502124 is a `hidden beast` number, since 1 + 0 + 1 + 3 + 4 + 31 + 502 + 124 = 666.

It is a super-2 number, since 2×10134315021242 (a number of 25 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3519399 + ... + 3796449.

It is an arithmetic number, because the mean of its divisors is an integer number (19413033640).

Almost surely, 21013431502124 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1013431502124, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1397738422080).

1013431502124 is an abundant number, since it is smaller than the sum of its proper divisors (1782045342036).

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

1013431502124 is a wasteful number, since it uses less digits than its factorization.

1013431502124 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 277260 (or 277255 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 1013431502124 its reverse (4212051343101), we get a palindrome (5225482845225).

The spelling of 1013431502124 in words is "one trillion, thirteen billion, four hundred thirty-one million, five hundred two thousand, one hundred twenty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 43 51 68 86 102 129 139 153 172 204 258 278 306 387 417 516 556 612 731 774 834 1251 1462 1548 1668 2193 2363 2502 2924 4386 4726 5004 5977 6579 7089 8772 9452 11954 13158 14178 17931 21267 23908 26316 28356 35862 42534 53793 71724 85068 101609 107586 203218 215172 277051 304827 406436 554102 609654 831153 914481 1108204 1219308 1662306 1828962 2493459 3324612 3657924 4709867 4986918 9419734 9973836 11913193 14129601 18839468 23826386 28259202 35739579 38510089 42388803 47652772 56518404 71479158 77020178 84777606 107218737 115530267 142958316 154040356 169555212 202524281 214437474 231060534 346590801 405048562 428874948 462121068 607572843 654671513 693181602 810097124 1215145686 1309343026 1386363204 1655933827 1822718529 1964014539 2430291372 2618686052 3311867654 3645437058 3928029078 4967801481 5892043617 6623735308 7290874116 7856058156 9935602962 11784087234 14903404443 19871205924 23568174468 28150875059 29806808886 56301750118 59613617772 84452625177 112603500236 168905250354 253357875531 337810500708 506715751062 1013431502124