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31421115662013 = 347115985387411
BaseRepresentation
bin1110010010011110011000…
…11011111111111010111101
311010020211101120112022210000
413021033030123333322331
513104300421102141023
6150454354455504513
76422046352250130
oct711171433777275
9133224346468700
1031421115662013
11a01469070a790
123635758088139
13146bcc98c648c
147a8b0c0d6217
15397506ad1243
hex1c93cc6ffebd

31421115662013 has 80 divisors (see below), whose sum is σ = 59511610667520. Its totient is φ = 16046002087200.

The previous prime is 31421115662009. The next prime is 31421115662017. The reversal of 31421115662013 is 31026651112413.

31421115662013 is a `hidden beast` number, since 3 + 1 + 4 + 2 + 1 + 1 + 15 + 6 + 620 + 13 = 666.

It is an interprime number because it is at equal distance from previous prime (31421115662009) and next prime (31421115662017).

It is not a de Polignac number, because 31421115662013 - 22 = 31421115662009 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (31421115662017) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 42325723 + ... + 43061688.

It is an arithmetic number, because the mean of its divisors is an integer number (743895133344).

Almost surely, 231421115662013 is an apocalyptic number.

31421115662013 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

It is an amenable number.

31421115662013 is a deficient number, since it is larger than the sum of its proper divisors (28090495005507).

31421115662013 is a wasteful number, since it uses less digits than its factorization.

31421115662013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85387500 (or 85387491 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

Adding to 31421115662013 its reverse (31026651112413), we get a palindrome (62447766774426).

The spelling of 31421115662013 in words is "thirty-one trillion, four hundred twenty-one billion, one hundred fifteen million, six hundred sixty-two thousand, thirteen".

Divisors: 1 3 7 9 11 21 27 33 59 63 77 81 99 177 189 231 297 413 531 567 649 693 891 1239 1593 1947 2079 3717 4543 4779 5841 6237 11151 13629 17523 33453 40887 52569 122661 367983 85387411 256162233 597711877 768486699 939261521 1793135631 2305460097 2817784563 5037857249 5379406893 6574830647 6916380291 8453353689 15113571747 16138220679 19724491941 25360061067 35265000743 45340715241 48414662037 55416429739 59173475823 76080183201 105795002229 136022145723 166249289217 177520427469 317385006687 387915008173 408066437169 498747867651 532561282407 952155020061 1163745024519 1496243602953 2856465060183 3491235073557 4488730808859 10473705220671 31421115662013