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31100021040 = 24351176915319
BaseRepresentation
bin11100111101101101…
…001010100100110000
32222021102011202120010
4130331231022210300
51002143101133130
622142005214520
72150454550164
oct347555124460
988242152503
1031100021040
111220a173130
12603b401440
132c1825251a
141710590ca4
15c204b60b0
hex73db4a930

31100021040 has 160 divisors (see below), whose sum is σ = 105318259200. Its totient is φ = 7529103360.

The previous prime is 31100021023. The next prime is 31100021041. The reversal of 31100021040 is 4012000113.

It is a happy number.

It is a super-2 number, since 2×311000210402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (31100021041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2022501 + ... + 2037819.

It is an arithmetic number, because the mean of its divisors is an integer number (658239120).

Almost surely, 231100021040 is an apocalyptic number.

31100021040 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31100021040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52659129600).

31100021040 is an abundant number, since it is smaller than the sum of its proper divisors (74218238160).

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

31100021040 is a wasteful number, since it uses less digits than its factorization.

31100021040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16115 (or 16109 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 31100021040 its reverse (4012000113), we get a palindrome (35112021153).

The spelling of 31100021040 in words is "thirty-one billion, one hundred million, twenty-one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 30 33 40 44 48 55 60 66 80 88 110 120 132 165 176 220 240 264 330 440 528 660 769 880 1320 1538 2307 2640 3076 3845 4614 6152 7690 8459 9228 11535 12304 15319 15380 16918 18456 23070 25377 30638 30760 33836 36912 42295 45957 46140 50754 61276 61520 67672 76595 84590 91914 92280 101508 122552 126885 135344 153190 168509 169180 183828 184560 203016 229785 245104 253770 306380 337018 338360 367656 406032 459570 505527 507540 612760 674036 676720 735312 842545 919140 1011054 1015080 1225520 1348072 1685090 1838280 2022108 2030160 2527635 2696144 3370180 3676560 4044216 5055270 6740360 8088432 10110540 11780311 13480720 20221080 23560622 35340933 40442160 47121244 58901555 70681866 94242488 117803110 129583421 141363732 176704665 188484976 235606220 259166842 282727464 353409330 388750263 471212440 518333684 565454928 647917105 706818660 777500526 942424880 1036667368 1295834210 1413637320 1555001052 1943751315 2073334736 2591668420 2827274640 3110002104 3887502630 5183336840 6220004208 7775005260 10366673680 15550010520 31100021040