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31021023020 = 22513172439601
BaseRepresentation
bin11100111000111111…
…110011111100101100
32222001220112020122112
4130320333303330230
51002012340214040
622130104103152
72145505226231
oct347077637454
988056466575
1031021023020
1112179616809
126018a64ab8
132c04a83230
141703ca9788
15c185ae365
hex738ff3f2c

31021023020 has 144 divisors (see below), whose sum is σ = 76265843808. Its totient is φ = 10528358400.

The previous prime is 31021022959. The next prime is 31021023029. The reversal of 31021023020 is 2032012013.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 31021022986 and 31021023004.

It is not an unprimeable number, because it can be changed into a prime (31021023029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3226220 + ... + 3235820.

Almost surely, 231021023020 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 31021023020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38132921904).

31021023020 is an abundant number, since it is smaller than the sum of its proper divisors (45244820788).

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

31021023020 is a wasteful number, since it uses less digits than its factorization.

31021023020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9700 (or 9681 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

Adding to 31021023020 its reverse (2032012013), we get a palindrome (33053035033).

The spelling of 31021023020 in words is "thirty-one billion, twenty-one million, twenty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 17 20 26 34 43 52 65 68 85 86 130 170 172 215 221 260 289 340 430 442 559 578 731 860 884 1105 1118 1156 1445 1462 2210 2236 2795 2890 2924 3655 3757 4420 5590 5780 7310 7514 9503 9601 11180 12427 14620 15028 18785 19006 19202 24854 37570 38012 38404 47515 48005 49708 62135 75140 95030 96010 124270 124813 161551 163217 190060 192020 248540 249626 323102 326434 412843 499252 624065 646204 652868 807755 816085 825686 1248130 1615510 1632170 1651372 2064215 2121821 2496260 2774689 3231020 3264340 4128430 4243642 5366959 5549378 7018331 8256860 8487284 10609105 10733918 11098756 13873445 14036662 21218210 21467836 26834795 27746890 28073324 35091655 36070957 42436420 53669590 55493780 70183310 72141914 91238303 107339180 119311627 140366620 144283828 180354785 182476606 238623254 360709570 364953212 456191515 477246508 596558135 721419140 912383030 1193116270 1551051151 1824766060 2386232540 3102102302 6204204604 7755255755 15510511510 31021023020