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10000121010 = 23511236121599
BaseRepresentation
bin10010101000000110…
…11011110010110010
3221210220222210010020
421110003123302302
5130440012333020
64332145144310
7502545424515
oct112403336262
927726883106
1010000121010
114271897a20
121b3102b096
13c34a30589
146ac194d7c
153d7dd3c40
hex2540dbcb2

10000121010 has 128 divisors (see below), whose sum is σ = 27769651200. Its totient is φ = 2280748800.

The previous prime is 10000121009. The next prime is 10000121029. The reversal of 10000121010 is 1012100001.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is a self number, because there is not a number n which added to its sum of digits gives 10000121010.

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, 452191 + ... + 473789.

It is an arithmetic number, because the mean of its divisors is an integer number (216950400).

Almost surely, 210000121010 is an apocalyptic number.

10000121010 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 10000121010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13884825600).

10000121010 is an abundant number, since it is smaller than the sum of its proper divisors (17769530190).

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

10000121010 is a wasteful number, since it uses less digits than its factorization.

10000121010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21704.

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 10000121010 its reverse (1012100001), we get a palindrome (11012221011).

The spelling of 10000121010 in words is "ten billion, one hundred twenty-one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 23 30 33 46 55 61 66 69 110 115 122 138 165 183 230 253 305 330 345 366 506 610 671 690 759 915 1265 1342 1403 1518 1830 2013 2530 2806 3355 3795 4026 4209 6710 7015 7590 8418 10065 14030 15433 20130 21045 21599 30866 42090 43198 46299 64797 77165 92598 107995 129594 154330 215990 231495 237589 323985 462990 475178 496777 647970 712767 993554 1187945 1317539 1425534 1490331 2375890 2483885 2635078 2980662 3563835 3952617 4967770 5464547 6587695 7127670 7451655 7905234 10929094 13175390 14492929 14903310 16393641 19763085 27322735 28985858 30303397 32787282 39526170 43478787 54645470 60606794 72464645 81968205 86957574 90910191 144929290 151516985 163936410 181820382 217393935 303033970 333337367 434787870 454550955 666674734 909101910 1000012101 1666686835 2000024202 3333373670 5000060505 10000121010