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2213211101130 = 2325971311935251
BaseRepresentation
bin100000001101001101101…
…010010101011111001010
321211120200111011000020100
4200031031222111133022
5242230124020214010
64412422442510230
7315620301650631
oct40151552253712
97746614130210
102213211101130
11783687a71887
122b8b27b05376
131309218c8343
147919736c518
153c8861a22c0
hex2034da957ca

2213211101130 has 96 divisors (see below), whose sum is σ = 5858054250048. Its totient is φ = 579646080000.

The previous prime is 2213211101119. The next prime is 2213211101137. The reversal of 2213211101130 is 311011123122.

2213211101130 is a `hidden beast` number, since 221 + 3 + 211 + 101 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2213211101137) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176005 + ... + 2111255.

It is an arithmetic number, because the mean of its divisors is an integer number (61021398438).

Almost surely, 22213211101130 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2213211101130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2929027125024).

2213211101130 is an abundant number, since it is smaller than the sum of its proper divisors (3644843148918).

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

2213211101130 is a wasteful number, since it uses less digits than its factorization.

2213211101130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935492 (or 1935489 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

Adding to 2213211101130 its reverse (311011123122), we get a palindrome (2524222224252).

The spelling of 2213211101130 in words is "two trillion, two hundred thirteen billion, two hundred eleven million, one hundred one thousand, one hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 45 90 97 131 194 262 291 393 485 582 655 786 873 970 1179 1310 1455 1746 1965 2358 2910 3930 4365 5895 8730 11790 12707 25414 38121 63535 76242 114363 127070 190605 228726 381210 571815 1143630 1935251 3870502 5805753 9676255 11611506 17417259 19352510 29028765 34834518 58057530 87086295 174172590 187719347 253517881 375438694 507035762 563158041 760553643 938596735 1126316082 1267589405 1521107286 1689474123 1877193470 2281660929 2535178810 2815790205 3378948246 3802768215 4563321858 5631580410 7605536430 8447370615 11408304645 16894741230 22816609290 24591234457 49182468914 73773703371 122956172285 147547406742 221321110113 245912344570 368868516855 442642220226 737737033710 1106605550565 2213211101130