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20251141240 = 2351179683853
BaseRepresentation
bin10010110111000011…
…111110010001111000
31221021100002120021011
4102313003332101320
5312433243004430
613145300123304
71314561601051
oct226703762170
957240076234
1020251141240
118652272170
123b12096534
131ba9729915
14da17bb728
157d7d2822a
hex4b70fe478

20251141240 has 128 divisors (see below), whose sum is σ = 50469350400. Its totient is φ = 7251678720.

The previous prime is 20251141237. The next prime is 20251141243. The reversal of 20251141240 is 4214115202.

It is an interprime number because it is at equal distance from previous prime (20251141237) and next prime (20251141243).

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20251141243) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23740654 + ... + 23741506.

It is an arithmetic number, because the mean of its divisors is an integer number (394291800).

Almost surely, 220251141240 is an apocalyptic number.

20251141240 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 20251141240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25234675200).

20251141240 is an abundant number, since it is smaller than the sum of its proper divisors (30218209160).

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

20251141240 is a wasteful number, since it uses less digits than its factorization.

20251141240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1637 (or 1633 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

Adding to 20251141240 its reverse (4214115202), we get a palindrome (24465256442).

The spelling of 20251141240 in words is "twenty billion, two hundred fifty-one million, one hundred forty-one thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 79 88 110 158 220 316 395 440 632 683 790 853 869 1366 1580 1706 1738 2732 3160 3412 3415 3476 4265 4345 5464 6824 6830 6952 7513 8530 8690 9383 13660 15026 17060 17380 18766 27320 30052 34120 34760 37532 37565 46915 53957 60104 67387 75064 75130 93830 107914 134774 150260 187660 215828 269548 269785 300520 336935 375320 431656 539096 539570 582599 593527 673870 741257 1079140 1165198 1187054 1347740 1482514 2158280 2330396 2374108 2695480 2912995 2965028 2967635 3706285 4660792 4748216 5825990 5930056 5935270 6408589 7412570 11651980 11870540 12817178 14825140 23303960 23741080 25634356 29650280 32042945 46025321 51268712 64085890 92050642 128171780 184101284 230126605 256343560 368202568 460253210 506278531 920506420 1012557062 1841012840 2025114124 2531392655 4050228248 5062785310 10125570620 20251141240