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2101023040 = 26519595857
BaseRepresentation
bin111110100111011…
…0001000101000000
312102102110000210011
41331032301011000
513300330214130
6544252114304
7103031254414
oct17516610500
95372400704
102101023040
11988a77786
124a7765994
132763886cc
1415d074d44
15c46ba52a
hex7d3b1140

2101023040 has 112 divisors (see below), whose sum is σ = 5356555200. Its totient is φ = 782548992.

The previous prime is 2101022993. The next prime is 2101023053. The reversal of 2101023040 is 403201012.

It is a super-2 number, since 2×21010230402 = 8828595629221683200, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2101023040.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 355792 + ... + 361648.

Almost surely, 22101023040 is an apocalyptic number.

2101023040 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 2101023040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2678277600).

2101023040 is an abundant number, since it is smaller than the sum of its proper divisors (3255532160).

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

2101023040 is a wasteful number, since it uses less digits than its factorization.

2101023040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5952 (or 5942 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

The square root of 2101023040 is about 45836.9178719512. The cubic root of 2101023040 is about 1280.7870810233.

Adding to 2101023040 its reverse (403201012), we get a palindrome (2504224052).

The spelling of 2101023040 in words is "two billion, one hundred one million, twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 32 38 40 59 64 76 80 95 118 152 160 190 236 295 304 320 380 472 590 608 760 944 1121 1180 1216 1520 1888 2242 2360 3040 3776 4484 4720 5605 5857 6080 8968 9440 11210 11714 17936 18880 22420 23428 29285 35872 44840 46856 58570 71744 89680 93712 111283 117140 179360 187424 222566 234280 345563 358720 374848 445132 468560 556415 691126 890264 937120 1112830 1382252 1727815 1780528 1874240 2225660 2764504 3455630 3561056 4451320 5529008 6565697 6911260 7122112 8902640 11058016 13131394 13822520 17805280 22116032 26262788 27645040 32828485 35610560 52525576 55290080 65656970 105051152 110580160 131313940 210102304 262627880 420204608 525255760 1050511520 2101023040