Search a number
-
+
1351345005220 = 2257172692110751
BaseRepresentation
bin10011101010100010011…
…100000110001010100100
311210012001120000222011011
4103222202130012022210
5134120023310131340
62512444353152004
7166426406010220
oct23524234061244
94705046028134
101351345005220
11481114031601
12199a9685b604
139a57b6cbc32
1449596793780
15252418ea0ea
hex13aa27062a4

1351345005220 has 96 divisors (see below), whose sum is σ = 3446773585920. Its totient is φ = 434443008000.

The previous prime is 1351345005187. The next prime is 1351345005221. The reversal of 1351345005220 is 225005431531.

It is a super-2 number, since 2×13513450052202 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1351345005221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 415156 + ... + 1695595.

It is an arithmetic number, because the mean of its divisors is an integer number (35903891520).

Almost surely, 21351345005220 is an apocalyptic number.

1351345005220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1351345005220 is an abundant number, since it is smaller than the sum of its proper divisors (2095428580700).

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

1351345005220 is a wasteful number, since it uses less digits than its factorization.

1351345005220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2111053 (or 2111051 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 1351345005220 in words is "one trillion, three hundred fifty-one billion, three hundred forty-five million, five thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 68 70 85 119 140 170 238 269 340 476 538 595 1076 1190 1345 1883 2380 2690 3766 4573 5380 7532 9146 9415 18292 18830 22865 32011 37660 45730 64022 91460 128044 160055 320110 640220 2110751 4221502 8443004 10553755 14775257 21107510 29550514 35882767 42215020 59101028 71765534 73876285 143531068 147752570 179413835 251179369 295505140 358827670 502358738 567792019 717655340 1004717476 1135584038 1255896845 2271168076 2511793690 2838960095 3974544133 5023587380 5677920190 7949088266 9652464323 11355840380 15898176532 19304928646 19872720665 38609857292 39745441330 48262321615 67567250261 79490882660 96524643230 135134500522 193049286460 270269001044 337836251305 675672502610 1351345005220