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210106246040 = 23531679372699
BaseRepresentation
bin1100001110101101001…
…1101110001110011000
3202002022122222011210022
43003223103232032120
511420244144333130
6240304350010012
721115425424115
oct3035323561630
9662278864708
10210106246040
1181118553459
12348781a6908
1316a75029112
14a2523bd90c
1556ea81c7e5
hex30eb4ee398

210106246040 has 128 divisors (see below), whose sum is σ = 495984384000. Its totient is φ = 80002391040.

The previous prime is 210106246037. The next prime is 210106246061. The reversal of 210106246040 is 40642601012.

It is a congruent number.

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, 77844611 + ... + 77847309.

It is an arithmetic number, because the mean of its divisors is an integer number (3874878000).

Almost surely, 2210106246040 is an apocalyptic number.

210106246040 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 210106246040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247992192000).

210106246040 is an abundant number, since it is smaller than the sum of its proper divisors (285878137960).

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

210106246040 is a wasteful number, since it uses less digits than its factorization.

210106246040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3745 (or 3741 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 26.

Adding to 210106246040 its reverse (40642601012), we get a palindrome (250748847052).

The spelling of 210106246040 in words is "two hundred ten billion, one hundred six million, two hundred forty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 31 40 62 67 124 134 155 248 268 310 335 536 620 670 937 1240 1340 1874 2077 2680 2699 3748 4154 4685 5398 7496 8308 9370 10385 10796 13495 16616 18740 20770 21592 26990 29047 37480 41540 53980 58094 62779 83080 83669 107960 116188 125558 145235 167338 180833 232376 251116 290470 313895 334676 361666 418345 502232 580940 627790 669352 723332 836690 904165 1161880 1255580 1446664 1673380 1808330 1946149 2511160 2528963 3346760 3616660 3892298 5057926 5605823 7233320 7784596 9730745 10115852 11211646 12644815 15569192 19461490 20231704 22423292 25289630 28029115 38922980 44846584 50579260 56058230 77845960 78397853 101158520 112116460 156795706 169440521 224232920 313591412 338881042 391989265 627182824 677762084 783978530 847202605 1355524168 1567957060 1694405210 3135914120 3388810420 5252656151 6777620840 10505312302 21010624604 26263280755 42021249208 52526561510 105053123020 210106246040