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1355602413100 = 22521331193174289
BaseRepresentation
bin10011101110100000001…
…100110100011000101100
311210121001021002200211111
4103232200030310120230
5134202233204204400
62514431040201404
7166640043251125
oct23564014643054
94717037080744
101355602413100
114829a9249111
1219a884609264
139aaa9757ab0
144987bd9104c
15253e05693ba
hex13ba033462c

1355602413100 has 144 divisors (see below), whose sum is σ = 3287092668160. Its totient is φ = 481871462400.

The previous prime is 1355602413083. The next prime is 1355602413101. The reversal of 1355602413100 is 13142065531.

It is a super-2 number, since 2×13556024131002 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is not an unprimeable number, because it can be changed into a prime (1355602413101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7690756 + ... + 7865044.

Almost surely, 21355602413100 is an apocalyptic number.

1355602413100 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 1355602413100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1643546334080).

1355602413100 is an abundant number, since it is smaller than the sum of its proper divisors (1931490255060).

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

1355602413100 is a wasteful number, since it uses less digits than its factorization.

1355602413100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174540 (or 174533 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 31.

Adding to 1355602413100 its reverse (13142065531), we get a palindrome (1368744478631).

The spelling of 1355602413100 in words is "one trillion, three hundred fifty-five billion, six hundred two million, four hundred thirteen thousand, one hundred".

Divisors: 1 2 4 5 10 13 20 25 26 31 50 52 62 65 100 124 130 155 193 260 310 325 386 403 620 650 772 775 806 965 1300 1550 1612 1930 2015 2509 3100 3860 4030 4825 5018 5983 8060 9650 10036 10075 11966 12545 19300 20150 23932 25090 29915 40300 50180 59830 62725 77779 119660 125450 149575 155558 174289 250900 299150 311116 348578 388895 598300 697156 777790 871445 1555580 1742890 1944475 2265757 3485780 3888950 4357225 4531514 5402959 7777900 8714450 9063028 10805918 11328785 17428900 21611836 22657570 27014795 33637777 45315140 54029590 56643925 67275554 70238467 108059180 113287850 134551108 135073975 140476934 168188885 226575700 270147950 280953868 336377770 351192335 437291101 540295900 672755540 702384670 840944425 874582202 1042771087 1404769340 1681888850 1749164404 1755961675 2085542174 2186455505 3363777700 3511923350 4171084348 4372911010 5213855435 7023846700 8745822020 10427710870 10932277525 13556024131 20855421740 21864555050 26069277175 27112048262 43729110100 52138554350 54224096524 67780120655 104277108700 135560241310 271120482620 338900603275 677801206550 1355602413100