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2042202411431 = 7131511816431277
BaseRepresentation
bin11101101101111100101…
…111111101000110100111
321020020021121010110222022
4131231330233331012213
5231424412304131211
64202101433053355
7300354452040320
oct35557457750647
97206247113868
102042202411431
11718103026166
1228b96155725b
1311a76a9b0a60
1470bb3765447
15381c800abdb
hex1db7cbfd1a7

2042202411431 has 64 divisors (see below), whose sum is σ = 2550056011776. Its totient is φ = 1592509248000.

The previous prime is 2042202411419. The next prime is 2042202411449. The reversal of 2042202411431 is 1341142022402.

It is a cyclic number.

It is not a de Polignac number, because 2042202411431 - 210 = 2042202410407 is a prime.

It is a super-2 number, since 2×20422024114312 (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2042202411431.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042202411481) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1599218165 + ... + 1599219441.

It is an arithmetic number, because the mean of its divisors is an integer number (39844625184).

Almost surely, 22042202411431 is an apocalyptic number.

2042202411431 is a deficient number, since it is larger than the sum of its proper divisors (507853600345).

2042202411431 is a wasteful number, since it uses less digits than its factorization.

2042202411431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2272.

The product of its (nonzero) digits is 3072, while the sum is 26.

Adding to 2042202411431 its reverse (1341142022402), we get a palindrome (3383344433833).

The spelling of 2042202411431 in words is "two trillion, forty-two billion, two hundred two million, four hundred eleven thousand, four hundred thirty-one".

Divisors: 1 7 13 91 151 181 643 1057 1267 1277 1963 2353 4501 8359 8939 13741 16471 16601 27331 58513 97093 116207 116383 191317 192827 231137 355303 679651 814681 821111 1262209 1349789 1512979 1617959 2487121 2506751 3004781 5747777 8835463 10590853 10674443 17547257 17573833 21033467 34901687 74721101 123016831 123987761 148621091 228459829 244311809 453721931 867914327 1040347637 1599218803 1611840893 1932074183 3176053517 11282886251 13524519281 22441784741 157092493187 291743201633 2042202411431