Search a number
-
+
1001202200292 = 2237171013969151
BaseRepresentation
bin11101001000111000100…
…11010010111011100100
310112201021111120112020210
432210130103102323210
5112400430230402132
62043540153455420
7132222503200110
oct16443423227344
93481244515223
101001202200292
113566755a4858
12142058711570
137354a380668
143665bd8a740
151b09c088bcc
hexe91c4d2ee4

1001202200292 has 96 divisors (see below), whose sum is σ = 2827243560960. Its totient is φ = 269200396800.

The previous prime is 1001202200261. The next prime is 1001202200329. The reversal of 1001202200292 is 2920022021001.

It is a happy number.

1001202200292 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (21).

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, 14443917 + ... + 14513067.

It is an arithmetic number, because the mean of its divisors is an integer number (29450453760).

Almost surely, 21001202200292 is an apocalyptic number.

1001202200292 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1001202200292 is an abundant number, since it is smaller than the sum of its proper divisors (1826041360668).

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

1001202200292 is a wasteful number, since it uses less digits than its factorization.

1001202200292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 79321 (or 79319 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 21.

Adding to 1001202200292 its reverse (2920022021001), we get a palindrome (3921224221293).

The spelling of 1001202200292 in words is "one trillion, one billion, two hundred two million, two hundred thousand, two hundred ninety-two".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 10139 20278 30417 40556 60834 69151 70973 121668 138302 141946 172363 207453 212919 276604 283892 344726 414906 425838 484057 517089 689452 829812 851676 968114 1034178 1175567 1206541 1452171 1936228 2068356 2351134 2413082 2904342 3526701 3619623 4702268 4826164 5808684 7053402 7239246 8228969 14106804 14478492 16457938 24686907 32915876 49373814 98747628 701121989 1402243978 2103365967 2804487956 4206731934 4907853923 8413463868 9815707846 11919073813 14723561769 19631415692 23838147626 29447123538 35757221439 47676295252 58894247076 71514442878 83433516691 143028885756 166867033382 250300550073 333734066764 500601100146 1001202200292