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2300013120120 = 2335233722522651
BaseRepresentation
bin100001011110000011011…
…101110000101001111000
322010212201212110110010120
4201132003131300221320
5300140411324320440
64520340023213240
7325112316643452
oct41360335605170
98125655413116
102300013120120
11807480499461
123119118a7220
13138b76007a61
147d46d6492d2
153ec668cddd0
hex21783770a78

2300013120120 has 128 divisors (see below), whose sum is σ = 7394637104640. Its totient is φ = 570814041600.

The previous prime is 2300013120113. The next prime is 2300013120121. The reversal of 2300013120120 is 210213100032.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2300013120120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2300013120121) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11159206 + ... + 11363445.

It is an arithmetic number, because the mean of its divisors is an integer number (57770602380).

Almost surely, 22300013120120 is an apocalyptic number.

2300013120120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2300013120120 is an abundant number, since it is smaller than the sum of its proper divisors (5094623984520).

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

2300013120120 is a wasteful number, since it uses less digits than its factorization.

2300013120120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22522725 (or 22522721 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 2300013120120 its reverse (210213100032), we get a palindrome (2510226220152).

The spelling of 2300013120120 in words is "two trillion, three hundred billion, thirteen million, one hundred twenty thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 37 40 46 60 69 74 92 111 115 120 138 148 184 185 222 230 276 296 345 370 444 460 552 555 690 740 851 888 920 1110 1380 1480 1702 2220 2553 2760 3404 4255 4440 5106 6808 8510 10212 12765 17020 20424 25530 34040 51060 102120 22522651 45045302 67567953 90090604 112613255 135135906 180181208 225226510 270271812 337839765 450453020 518020973 540543624 675679530 833338087 900906040 1036041946 1351359060 1554062919 1666676174 2072083892 2500014261 2590104865 2702718120 3108125838 3333352348 4144167784 4166690435 5000028522 5180209730 6216251676 6666704696 7770314595 8333380870 10000057044 10360419460 12432503352 12500071305 15540629190 16666761740 19166776001 20000114088 20720838920 25000142610 31081258380 33333523480 38333552002 50000285220 57500328003 62162516760 76667104004 95833880005 100000570440 115000656006 153334208008 191667760010 230001312012 287501640015 383335520020 460002624024 575003280030 766671040040 1150006560060 2300013120120