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10100243010 = 235111319911831
BaseRepresentation
bin10010110100000010…
…10111101001000010
3222001220101111200110
421122001113221002
5131141130234020
64350123132150
7505202435424
oct113201275102
928056344613
1010100243010
114313362080
121b5a674056
13c4c6b7770
146bb5b8814
153e1aae8e0
hex25a057a42

10100243010 has 128 divisors (see below), whose sum is σ = 28623974400. Its totient is φ = 2248646400.

The previous prime is 10100242973. The next prime is 10100243029. The reversal of 10100243010 is 1034200101.

It is a happy number.

It is a super-2 number, since 2×101002430102 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 847795 + ... + 859625.

It is an arithmetic number, because the mean of its divisors is an integer number (223624800).

Almost surely, 210100243010 is an apocalyptic number.

10100243010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10100243010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14311987200).

10100243010 is an abundant number, since it is smaller than the sum of its proper divisors (18523731390).

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

10100243010 is a wasteful number, since it uses less digits than its factorization.

10100243010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12064.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 10100243010 its reverse (1034200101), we get a palindrome (11134443111).

The spelling of 10100243010 in words is "ten billion, one hundred million, two hundred forty-three thousand, ten".

Divisors: 1 2 3 5 6 10 11 13 15 22 26 30 33 39 55 65 66 78 110 130 143 165 195 199 286 330 390 398 429 597 715 858 995 1194 1430 1990 2145 2189 2587 2985 4290 4378 5174 5970 6567 7761 10945 11831 12935 13134 15522 21890 23662 25870 28457 32835 35493 38805 56914 59155 65670 70986 77610 85371 118310 130141 142285 153803 170742 177465 260282 284570 307606 354930 390423 426855 461409 650705 769015 780846 853710 922818 1301410 1538030 1691833 1952115 2307045 2354369 3383666 3904230 4614090 4708738 5075499 7063107 8459165 10150998 11771845 14126214 16918330 23543690 25377495 25898059 30606797 35315535 50754990 51796118 61213594 70631070 77694177 91820391 129490295 153033985 155388354 183640782 258980590 306067970 336674767 388470885 459101955 673349534 776941770 918203910 1010024301 1683373835 2020048602 3366747670 5050121505 10100243010