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310020400422 = 232435947914173
BaseRepresentation
bin1001000001011101010…
…01111110010100100110
31002122012212002002222200
410200232221332110212
520034410210303142
6354231005035330
731253410631625
oct4405651762446
91078185062880
10310020400422
1110a52a485467
1250101255b46
1323308b0c825
141100dc956bc
1580e724b64c
hex482ea7e526

310020400422 has 96 divisors (see below), whose sum is σ = 700490419200. Its totient is φ = 99011941056.

The previous prime is 310020400411. The next prime is 310020400429. The reversal of 310020400422 is 224004020013.

It is a super-2 number, since 2×3100204004222 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 310020400395 and 310020400404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (310020400429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 21866928 + ... + 21881100.

It is an arithmetic number, because the mean of its divisors is an integer number (7296775200).

Almost surely, 2310020400422 is an apocalyptic number.

310020400422 is an abundant number, since it is smaller than the sum of its proper divisors (390470018778).

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

310020400422 is a wasteful number, since it uses less digits than its factorization.

310020400422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14762 (or 14759 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

Adding to 310020400422 its reverse (224004020013), we get a palindrome (534024420435).

The spelling of 310020400422 in words is "three hundred ten billion, twenty million, four hundred thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 43 59 86 118 129 177 258 354 387 479 531 774 958 1062 1437 2537 2874 4311 5074 7611 8622 14173 15222 20597 22833 28261 28346 41194 42519 45666 56522 61791 84783 85038 123582 127557 169566 185373 254349 255114 370746 508698 609439 836207 1215223 1218878 1672414 1828317 2430446 2508621 3645669 3656634 5017242 5484951 6788867 7291338 7525863 10937007 10969902 13577734 15051726 20366601 21874014 35956901 40733202 61099803 71913802 107870703 122199606 215741406 291921281 323612109 400543153 583842562 647224218 801086306 875763843 1201629459 1751527686 2403258918 2627291529 3604888377 5254583058 7209776754 17223355579 34446711158 51670066737 103340133474 155010200211 310020400422