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31434304110 = 235113113072351
BaseRepresentation
bin11101010001101000…
…010110101001101110
310000010201012002201120
4131101220112221232
51003334140212420
622235110121410
72161654114326
oct352150265156
9100121162646
1031434304110
1112370932a30
126113350266
132c6c594961
141742b2a286
15c3e9e7d40
hex751a16a6e

31434304110 has 128 divisors (see below), whose sum is σ = 85056749568. Its totient is φ = 7365840000.

The previous prime is 31434304103. The next prime is 31434304151. The reversal of 31434304110 is 1140343413.

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, 13369435 + ... + 13371785.

It is an arithmetic number, because the mean of its divisors is an integer number (664505856).

Almost surely, 231434304110 is an apocalyptic number.

31434304110 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 31434304110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (42528374784).

31434304110 is an abundant number, since it is smaller than the sum of its proper divisors (53622445458).

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

31434304110 is a wasteful number, since it uses less digits than its factorization.

31434304110 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3710.

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 31434304110 its reverse (1140343413), we get a palindrome (32574647523).

The spelling of 31434304110 in words is "thirty-one billion, four hundred thirty-four million, three hundred four thousand, one hundred ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 31 33 55 62 66 93 110 155 165 186 310 330 341 465 682 930 1023 1307 1705 2046 2351 2614 3410 3921 4702 5115 6535 7053 7842 10230 11755 13070 14106 14377 19605 23510 25861 28754 35265 39210 40517 43131 51722 70530 71885 72881 77583 81034 86262 121551 129305 143770 145762 155166 202585 215655 218643 243102 258610 364405 387915 405170 431310 437286 445687 607755 728810 775830 801691 891374 1093215 1215510 1337061 1603382 2186430 2228435 2405073 2674122 3072757 4008455 4456870 4810146 6145514 6685305 8016910 9218271 12025365 13370610 15363785 18436542 24050730 30727570 33800327 46091355 67600654 92182710 95255467 101400981 169001635 190510934 202801962 285766401 338003270 476277335 507004905 571532802 952554670 1014009810 1047810137 1428832005 2095620274 2857664010 3143430411 5239050685 6286860822 10478101370 15717152055 31434304110