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104200211010 = 23576731123813
BaseRepresentation
bin110000100001011010…
…0010000101001000010
3100221221220002011120110
41201002310100221002
53201400223223020
6115511404052150
710346115115440
oct1410264205102
9327856064513
10104200211010
1140211336875
1218240534056
139a97a604bc
145086c0db90
152a9cd5b8e0
hex1842d10a42

104200211010 has 128 divisors (see below), whose sum is σ = 291016986624. Its totient is φ = 23385288960.

The previous prime is 104200210997. The next prime is 104200211029. The reversal of 104200211010 is 10112002401.

It is a happy number.

104200211010 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 4363864 + ... + 4387676.

It is an arithmetic number, because the mean of its divisors is an integer number (2273570208).

Almost surely, 2104200211010 is an apocalyptic number.

104200211010 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 104200211010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145508493312).

104200211010 is an abundant number, since it is smaller than the sum of its proper divisors (186816775614).

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

104200211010 is a wasteful number, since it uses less digits than its factorization.

104200211010 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24208.

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 104200211010 its reverse (10112002401), we get a palindrome (114312213411).

The spelling of 104200211010 in words is "one hundred four billion, two hundred million, two hundred eleven thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 67 70 105 134 201 210 311 335 402 469 622 670 933 938 1005 1407 1555 1866 2010 2177 2345 2814 3110 4354 4665 4690 6531 7035 9330 10885 13062 14070 20837 21770 23813 32655 41674 47626 62511 65310 71439 104185 119065 125022 142878 145859 166691 208370 238130 291718 312555 333382 357195 437577 500073 625110 714390 729295 833455 875154 1000146 1458590 1595471 1666910 2187885 2500365 3190942 4375770 4786413 5000730 7405843 7977355 9572826 11168297 14811686 15954710 22217529 22336594 23932065 33504891 37029215 44435058 47864130 51840901 55841485 67009782 74058430 103681802 111087645 111682970 155522703 167524455 222175290 259204505 311045406 335048910 496191481 518409010 777613515 992382962 1488574443 1555227030 2480957405 2977148886 3473340367 4961914810 6946680734 7442872215 10420021101 14885744430 17366701835 20840042202 34733403670 52100105505 104200211010