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2123100311020 = 2251334949147653
BaseRepresentation
bin11110111001010010101…
…000111100110111101100
321111222002111210120122121
4132321102220330313230
5234241102134423040
64303201103522324
7306250255612063
oct36712250746754
97458074716577
102123100311020
1174944685a517
122a3579bb93a4
13125290b551b0
1474a898711da
153a36023dc4a
hex1ee52a3cdec

2123100311020 has 96 divisors (see below), whose sum is σ = 4825139054400. Its totient is φ = 780059427840.

The previous prime is 2123100311011. The next prime is 2123100311041. The reversal of 2123100311020 is 201130013212.

It is a junction number, because it is equal to n+sod(n) for n = 2123100310985 and 2123100311003.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 44529514 + ... + 44577166.

It is an arithmetic number, because the mean of its divisors is an integer number (50261865150).

Almost surely, 22123100311020 is an apocalyptic number.

2123100311020 is a gapful number since it is divisible by the number (20) 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 2123100311020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2412569527200).

2123100311020 is an abundant number, since it is smaller than the sum of its proper divisors (2702038743380).

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

2123100311020 is a wasteful number, since it uses less digits than its factorization.

2123100311020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48515 (or 48513 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 2123100311020 its reverse (201130013212), we get a palindrome (2324230324232).

The spelling of 2123100311020 in words is "two trillion, one hundred twenty-three billion, one hundred million, three hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 260 349 491 698 982 1396 1745 1964 2455 3490 4537 4910 6383 6980 9074 9820 12766 18148 22685 25532 31915 45370 47653 63830 90740 95306 127660 171359 190612 238265 342718 476530 619489 685436 856795 953060 1238978 1713590 2227667 2477956 3097445 3427180 4455334 6194890 8910668 11138335 12389780 16630897 22276670 23397623 33261794 44553340 46795246 66523588 83154485 93590492 116988115 166308970 216201661 233976230 304169099 332617940 432403322 467952460 608338198 864806644 1081008305 1216676396 1520845495 2162016610 3041690990 4324033220 6083381980 8165770427 16331540854 32663081708 40828852135 81657704270 106155015551 163315408540 212310031102 424620062204 530775077755 1061550155510 2123100311020