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245055311120100 = 2235213151416123809
BaseRepresentation
bin110111101110000001100010…
…110001010000011011100100
31012010200001120222022020000210
4313232001202301100123210
5224104441234121320400
62225104504503335420
7102421443025036425
oct6756014261203344
91163601528266023
10245055311120100
117109a412604088
122359943ba51570
13a697802b0b620
144472a5170364c
151d4e6b7282950
hexdee062c506e4

245055311120100 has 144 divisors (see below), whose sum is σ = 768623953946240. Its totient is φ = 59921828352000.

The previous prime is 245055311120063. The next prime is 245055311120143. The reversal of 245055311120100 is 1021113550542.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 207473005 + ... + 208650804.

Almost surely, 2245055311120100 is an apocalyptic number.

245055311120100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

245055311120100 is an abundant number, since it is smaller than the sum of its proper divisors (523568642826140).

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

245055311120100 is a wasteful number, since it uses less digits than its factorization.

245055311120100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416123990 (or 416123983 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 30.

Adding to 245055311120100 its reverse (1021113550542), we get a palindrome (246076424670642).

The spelling of 245055311120100 in words is "two hundred forty-five trillion, fifty-five billion, three hundred eleven million, one hundred twenty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 151 156 195 260 300 302 325 390 453 604 650 755 780 906 975 1300 1510 1812 1950 1963 2265 3020 3775 3900 3926 4530 5889 7550 7852 9060 9815 11325 11778 15100 19630 22650 23556 29445 39260 45300 49075 58890 98150 117780 147225 196300 294450 588900 416123809 832247618 1248371427 1664495236 2080619045 2496742854 4161238090 4993485708 5409609517 6241857135 8322476180 10403095225 10819219034 12483714270 16228828551 20806190450 21638438068 24967428540 27048047585 31209285675 32457657102 41612380900 54096095170 62418571350 62834695159 64915314204 81144142755 108192190340 124837142700 125669390318 135240237925 162288285510 188504085477 251338780636 270480475850 314173475795 324576571020 377008170954 405720713775 540960951700 628346951590 754016341908 811441427550 816851037067 942520427385 1256693903180 1570867378975 1622882855100 1633702074134 1885040854770 2450553111201 3141734757950 3267404148268 3770081709540 4084255185335 4712602136925 4901106222402 6283469515900 8168510370670 9425204273850 9802212444804 12252765556005 16337020741340 18850408547700 20421275926675 24505531112010 40842551853350 49011062224020 61263827780025 81685103706700 122527655560050 245055311120100