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1144120300020 = 2232512750049007
BaseRepresentation
bin10000101001100010111…
…000100101000111110100
311001101011201012020021200
4100221202320211013310
5122221124244100040
62233333540412500
7145442240042565
oct20514270450764
94041151166250
101144120300020
1140124509a465
121658a36a7130
1383b7567c889
143d538d8216c
151eb64072630
hex10a62e251f4

1144120300020 has 72 divisors (see below), whose sum is σ = 3497825071104. Its totient is φ = 302696388288.

The previous prime is 1144120299961. The next prime is 1144120300097. The reversal of 1144120300020 is 200030214411.

1144120300020 is a `hidden beast` number, since 1 + 1 + 441 + 203 + 0 + 0 + 0 + 20 = 666.

It is a super-2 number, since 2×11441203000202 (a number of 25 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1144120299966 and 1144120300002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25001644 + ... + 25047363.

Almost surely, 21144120300020 is an apocalyptic number.

1144120300020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1144120300020 is an abundant number, since it is smaller than the sum of its proper divisors (2353704771084).

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

1144120300020 is a wasteful number, since it uses less digits than its factorization.

1144120300020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50049149 (or 50049144 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 1144120300020 its reverse (200030214411), we get a palindrome (1344150514431).

The spelling of 1144120300020 in words is "one trillion, one hundred forty-four billion, one hundred twenty million, three hundred thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 127 180 254 381 508 635 762 1143 1270 1524 1905 2286 2540 3810 4572 5715 7620 11430 22860 50049007 100098014 150147021 200196028 250245035 300294042 450441063 500490070 600588084 750735105 900882126 1000980140 1501470210 1801764252 2252205315 3002940420 4504410630 6356223889 9008821260 12712447778 19068671667 25424895556 31781119445 38137343334 57206015001 63562238890 76274686668 95343358335 114412030002 127124477780 190686716670 228824060004 286030075005 381373433340 572060150010 1144120300020