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31240142012310 = 23571128974668233
BaseRepresentation
bin1110001101001101010011…
…00100010011111110010110
311002121112021012200101020020
413012212221210103332112
513043314302323343220
6150235304554250010
76403011561514140
oct706465144237626
9132545235611206
1031240142012310
119a54962812130
123606670426906
131457c1833c75a
147a0060c8bc90
15392963b9e040
hex1c69a9913f96

31240142012310 has 128 divisors (see below), whose sum is σ = 93509283216384. Its totient is φ = 6489215938560.

The previous prime is 31240142012309. The next prime is 31240142012327. The reversal of 31240142012310 is 1321024104213.

It is a super-2 number, since 2×312401420123102 (a number of 28 digits) contains 22 as substring.

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, 4357954 + ... + 9026186.

It is an arithmetic number, because the mean of its divisors is an integer number (730541275128).

Almost surely, 231240142012310 is an apocalyptic number.

31240142012310 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 31240142012310, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46754641608192).

31240142012310 is an abundant number, since it is smaller than the sum of its proper divisors (62269141204074).

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

31240142012310 is a wasteful number, since it uses less digits than its factorization.

31240142012310 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4671158.

The product of its (nonzero) digits is 1152, while the sum is 24.

Adding to 31240142012310 its reverse (1321024104213), we get a palindrome (32561166116523).

The spelling of 31240142012310 in words is "thirty-one trillion, two hundred forty billion, one hundred forty-two million, twelve thousand, three hundred ten".

Divisors: 1 2 3 5 6 7 10 11 14 15 21 22 30 33 35 42 55 66 70 77 105 110 154 165 210 231 330 385 462 770 1155 2310 2897 5794 8691 14485 17382 20279 28970 31867 40558 43455 60837 63734 86910 95601 101395 121674 159335 191202 202790 223069 304185 318670 446138 478005 608370 669207 956010 1115345 1338414 2230690 3346035 4668233 6692070 9336466 14004699 23341165 28009398 32677631 46682330 51350563 65355262 70023495 98032893 102701126 140046990 154051689 163388155 196065786 256752815 308103378 326776310 359453941 490164465 513505630 718907882 770258445 980328930 1078361823 1540516890 1797269705 2156723646 3594539410 5391809115 10783618230 13523871001 27047742002 40571613003 67619355005 81143226006 94667097007 135238710010 148762581011 189334194014 202858065015 284001291021 297525162022 405716130030 446287743033 473335485035 568002582042 743812905055 892575486066 946670970070 1041338067077 1420006455105 1487625810110 2082676134154 2231438715165 2840012910210 3124014201231 4462877430330 5206690335385 6248028402462 10413380670770 15620071006155 31240142012310