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13030020112120 = 235111011272308699
BaseRepresentation
bin1011110110011100100110…
…1110000101111011111000
31201010122202111122020021221
42331213021232011323320
53201440440122041440
643413524131441424
72513250021344224
oct275471156057370
951118674566257
1013030020112120
114174000730310
12156537b456274
1373695827297b
14330928dc7784
15178e19e34d4a
hexbd9c9b85ef8

13030020112120 has 128 divisors (see below), whose sum is σ = 32553778176000. Its totient is φ = 4654335168000.

The previous prime is 13030020112093. The next prime is 13030020112157. The reversal of 13030020112120 is 2121102003031.

It is a junction number, because it is equal to n+sod(n) for n = 13030020112094 and 13030020112103.

It is a congruent number.

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, 4489531 + ... + 6798229.

It is an arithmetic number, because the mean of its divisors is an integer number (254326392000).

Almost surely, 213030020112120 is an apocalyptic number.

13030020112120 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 13030020112120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16276889088000).

13030020112120 is an abundant number, since it is smaller than the sum of its proper divisors (19523758063880).

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

13030020112120 is a wasteful number, since it uses less digits than its factorization.

13030020112120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2308949 (or 2308945 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

Adding to 13030020112120 its reverse (2121102003031), we get a palindrome (15151122115151).

The spelling of 13030020112120 in words is "thirteen trillion, thirty billion, twenty million, one hundred twelve thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 101 110 127 202 220 254 404 440 505 508 635 808 1010 1016 1111 1270 1397 2020 2222 2540 2794 4040 4444 5080 5555 5588 6985 8888 11110 11176 12827 13970 22220 25654 27940 44440 51308 55880 64135 102616 128270 141097 256540 282194 513080 564388 705485 1128776 1410970 2308699 2821940 4617398 5643880 9234796 11543495 18469592 23086990 25395689 46173980 50791378 92347960 101582756 126978445 203165512 233178599 253956890 293204773 466357198 507913780 586409546 932714396 1015827560 1165892995 1172819092 1466023865 1865428792 2331785990 2345638184 2564964589 2932047730 3225252503 4663571980 5129929178 5864095460 6450505006 9327143960 10259858356 11728190920 12824822945 12901010012 16126262515 20519716712 25649645890 25802020024 29613682073 32252525030 51299291780 59227364146 64505050060 102598583560 118454728292 129010100120 148068410365 236909456584 296136820730 325750502803 592273641460 651501005606 1184547282920 1303002011212 1628752514015 2606004022424 3257505028030 6515010056060 13030020112120