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123013321020 = 223256160718457
BaseRepresentation
bin111001010010000101…
…0100101000100111100
3102202112000021011211200
41302210022211010330
54003412402233040
6132302254215500
711613245655612
oct1624412450474
9382460234750
10123013321020
11481958a3877
121ba10ab4590
13b7a5583c65
145d4d6196b2
1532ee7cb630
hex1ca42a513c

123013321020 has 144 divisors (see below), whose sum is σ = 379902851328. Its totient is φ = 32210887680.

The previous prime is 123013320977. The next prime is 123013321073. The reversal of 123013321020 is 20123310321.

123013321020 is a `hidden beast` number, since 1 + 2 + 301 + 332 + 10 + 20 = 666.

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 = 123013320984 and 123013321002.

It is a congruent number.

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, 6655632 + ... + 6674088.

Almost surely, 2123013321020 is an apocalyptic number.

123013321020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123013321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189951425664).

123013321020 is an abundant number, since it is smaller than the sum of its proper divisors (256889530308).

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

123013321020 is a wasteful number, since it uses less digits than its factorization.

123013321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19140 (or 19135 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 123013321020 its reverse (20123310321), we get a palindrome (143136631341).

The spelling of 123013321020 in words is "one hundred twenty-three billion, thirteen million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 61 90 122 180 183 244 305 366 549 607 610 732 915 1098 1214 1220 1821 1830 2196 2428 2745 3035 3642 3660 5463 5490 6070 7284 9105 10926 10980 12140 18210 18457 21852 27315 36420 36914 37027 54630 55371 73828 74054 92285 109260 110742 111081 148108 166113 184570 185135 221484 222162 276855 332226 333243 369140 370270 444324 553710 555405 664452 666486 740540 830565 1107420 1110810 1125877 1332972 1661130 1666215 2221620 2251754 3322260 3332430 3377631 4503508 5629385 6664860 6755262 10132893 11203399 11258770 13510524 16888155 20265786 22406798 22517540 33610197 33776310 40531572 44813596 50664465 56016995 67220394 67552620 100830591 101328930 112033990 134440788 168050985 201661182 202657860 224067980 336101970 403322364 504152955 672203940 683407339 1008305910 1366814678 2016611820 2050222017 2733629356 3417036695 4100444034 6150666051 6834073390 8200888068 10251110085 12301332102 13668146780 20502220170 24602664204 30753330255 41004440340 61506660510 123013321020