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10051001040 = 2435311399719
BaseRepresentation
bin10010101110001011…
…00001101011010000
3221221110201202101210
421113011201223100
5131041024013130
64341203500120
7504034046013
oct112705415320
927843652353
1010051001040
114298589933
121b46087640
13c424363c2
146b4c3b37a
153dc5d45b0
hex257161ad0

10051001040 has 160 divisors (see below), whose sum is σ = 32397926400. Its totient is φ = 2574881280.

The previous prime is 10051001039. The next prime is 10051001063. The reversal of 10051001040 is 4010015001.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 1029301 + ... + 1039019.

It is an arithmetic number, because the mean of its divisors is an integer number (202487040).

Almost surely, 210051001040 is an apocalyptic number.

10051001040 is a gapful number since it is divisible by the number (10) 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 10051001040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16198963200).

10051001040 is an abundant number, since it is smaller than the sum of its proper divisors (22346925360).

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

10051001040 is a wasteful number, since it uses less digits than its factorization.

10051001040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9905 (or 9899 counting only the distinct ones).

The product of its (nonzero) digits is 20, while the sum is 12.

Adding to 10051001040 its reverse (4010015001), we get a palindrome (14061016041).

The spelling of 10051001040 in words is "ten billion, fifty-one million, one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 31 40 48 60 62 80 93 120 124 139 155 186 240 248 278 310 372 417 465 496 556 620 695 744 834 930 1112 1240 1390 1488 1668 1860 2085 2224 2480 2780 3336 3720 4170 4309 5560 6672 7440 8340 8618 9719 11120 12927 16680 17236 19438 21545 25854 29157 33360 34472 38876 43090 48595 51708 58314 64635 68944 77752 86180 97190 103416 116628 129270 145785 155504 172360 194380 206832 233256 258540 291570 301289 344720 388760 466512 517080 583140 602578 777520 903867 1034160 1166280 1205156 1350941 1506445 1807734 2332560 2410312 2701882 3012890 3615468 4052823 4519335 4820624 5403764 6025780 6754705 7230936 8105646 9038670 10807528 12051560 13509410 14461872 16211292 18077340 20264115 21615056 24103120 27018820 32422584 36154680 40528230 41879171 54037640 64845168 72309360 81056460 83758342 108075280 125637513 162112920 167516684 209395855 251275026 324225840 335033368 418791710 502550052 628187565 670066736 837583420 1005100104 1256375130 1675166840 2010200208 2512750260 3350333680 5025500520 10051001040