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1301202200320 = 28511467919751
BaseRepresentation
bin10010111011110101101…
…100011110011100000000
311121101122000111120000221
4102323311230132130000
5132304330230402240
62433433010552424
7163003001132521
oct22736554363400
94541560446027
101301202200320
114619227a1080
12190221b98714
139591a1ac289
1446d9b0cc848
1523ca9747a4a
hex12ef5b1e700

1301202200320 has 144 divisors (see below), whose sum is σ = 3401028933120. Its totient is φ = 473039360000.

The previous prime is 1301202200297. The next prime is 1301202200323. The reversal of 1301202200320 is 230022021031.

It is a super-2 number, since 2×13012022003202 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 1301202200294 and 1301202200303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1301202200323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65870445 + ... + 65890195.

It is an arithmetic number, because the mean of its divisors is an integer number (23618256480).

Almost surely, 21301202200320 is an apocalyptic number.

1301202200320 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 1301202200320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1700514466560).

1301202200320 is an abundant number, since it is smaller than the sum of its proper divisors (2099826732800).

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

1301202200320 is a wasteful number, since it uses less digits than its factorization.

1301202200320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24462 (or 24448 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 1301202200320 its reverse (230022021031), we get a palindrome (1531224221351).

The spelling of 1301202200320 in words is "one trillion, three hundred one billion, two hundred two million, two hundred thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 640 704 880 1280 1408 1760 2816 3520 4679 7040 9358 14080 18716 19751 23395 37432 39502 46790 51469 74864 79004 93580 98755 102938 149728 158008 187160 197510 205876 217261 257345 299456 316016 374320 395020 411752 434522 514690 598912 632032 748640 790040 823504 869044 1029380 1086305 1197824 1264064 1497280 1580080 1647008 1738088 2058760 2172610 2528128 2994560 3160160 3294016 3476176 4117520 4345220 5056256 5989120 6320320 6588032 6952352 8235040 8690440 12640640 13176064 13904704 16470080 17380880 25281280 27809408 32940160 34761760 55618816 65880320 69523520 92414929 139047040 184829858 278094080 369659716 462074645 739319432 924149290 1016564219 1478638864 1848298580 2033128438 2957277728 3696597160 4066256876 5082821095 5914555456 7393194320 8132513752 10165642190 11829110912 14786388640 16265027504 20331284380 23658221824 29572777280 32530055008 40662568760 59145554560 65060110016 81325137520 118291109120 130120220032 162650275040 260240440064 325300550080 650601100160 1301202200320