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1052501540100 = 22352171910861729
BaseRepresentation
bin11110101000011011111…
…10101111110100000100
310201121200122100000000020
433110031332233310010
5114221010343240400
62123302412415140
7136016653323423
oct17241576576404
93647618300006
101052501540100
113763aa75405a
1214bb947774b0
13783343869ba
1438d270a92ba
151c5a0a3d2a0
hexf50dfafd04

1052501540100 has 144 divisors (see below), whose sum is σ = 3394073390400. Its totient is φ = 250254213120.

The previous prime is 1052501540099. The next prime is 1052501540107. The reversal of 1052501540100 is 10451052501.

It is a super-2 number, since 2×10525015401002 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1052501540107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5333965 + ... + 5527764.

It is an arithmetic number, because the mean of its divisors is an integer number (23569954100).

Almost surely, 21052501540100 is an apocalyptic number.

1052501540100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1052501540100 is an abundant number, since it is smaller than the sum of its proper divisors (2341571850300).

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

1052501540100 is a wasteful number, since it uses less digits than its factorization.

1052501540100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10861782 (or 10861775 counting only the distinct ones).

The product of its (nonzero) digits is 1000, while the sum is 24.

Adding to 1052501540100 its reverse (10451052501), we get a palindrome (1062952592601).

The spelling of 1052501540100 in words is "one trillion, fifty-two billion, five hundred one million, five hundred forty thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 17 19 20 25 30 34 38 50 51 57 60 68 75 76 85 95 100 102 114 150 170 190 204 228 255 285 300 323 340 380 425 475 510 570 646 850 950 969 1020 1140 1275 1292 1425 1615 1700 1900 1938 2550 2850 3230 3876 4845 5100 5700 6460 8075 9690 16150 19380 24225 32300 48450 96900 10861729 21723458 32585187 43446916 54308645 65170374 108617290 130340748 162925935 184649393 206372851 217234580 271543225 325851870 369298786 412745702 543086450 553948179 619118553 651703740 738597572 814629675 825491404 923246965 1031864255 1086172900 1107896358 1238237106 1629259350 1846493930 2063728510 2215792716 2476474212 2769740895 3095592765 3258518700 3508338467 3692987860 4127457020 4616234825 5159321275 5539481790 6191185530 7016676934 9232469650 10318642550 10525015401 11078963580 12382371060 13848704475 14033353868 15477963825 17541692335 18464939300 20637285100 21050030802 27697408950 30955927650 35083384670 42100061604 52625077005 55394817900 61911855300 70166769340 87708461675 105250154010 175416923350 210500308020 263125385025 350833846700 526250770050 1052501540100