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102034421300 = 225271917942859
BaseRepresentation
bin101111100000110111…
…0011011011000110100
3100202100221202122121202
41133001232123120310
53132431302440200
6114512435432032
710241336161640
oct1370156333064
9322327678552
10102034421300
113a2aa852a19
1217937155618
139811149326
144d1d319c20
1529c2b4b1d5
hex17c1b9b634

102034421300 has 144 divisors (see below), whose sum is σ = 267857856000. Its totient is φ = 32956087680.

The previous prime is 102034421267. The next prime is 102034421323. The reversal of 102034421300 is 3124430201.

It is a super-2 number, since 2×1020344213002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2359271 + ... + 2402129.

It is an arithmetic number, because the mean of its divisors is an integer number (1860124000).

Almost surely, 2102034421300 is an apocalyptic number.

102034421300 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 102034421300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133928928000).

102034421300 is an abundant number, since it is smaller than the sum of its proper divisors (165823434700).

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

102034421300 is a wasteful number, since it uses less digits than its factorization.

102034421300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43078 (or 43071 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 102034421300 its reverse (3124430201), we get a palindrome (105158851501).

The spelling of 102034421300 in words is "one hundred two billion, thirty-four million, four hundred twenty-one thousand, three hundred".

Divisors: 1 2 4 5 7 10 14 19 20 25 28 35 38 50 70 76 95 100 133 140 175 179 190 266 350 358 380 475 532 665 700 716 895 950 1253 1330 1790 1900 2506 2660 3325 3401 3580 4475 5012 6265 6650 6802 8950 12530 13300 13604 17005 17900 23807 25060 31325 34010 42859 47614 62650 68020 85025 85718 95228 119035 125300 170050 171436 214295 238070 300013 340100 428590 476140 595175 600026 814321 857180 1071475 1190350 1200052 1500065 1628642 2142950 2380700 3000130 3257284 4071605 4285900 5700247 6000260 7500325 7671761 8143210 11400494 15000650 15343522 16286420 20358025 22800988 28501235 30001300 30687044 38358805 40716050 53702327 57002470 76717610 81432100 107404654 114004940 142506175 145763459 153435220 191794025 214809308 268511635 285012350 291526918 383588050 537023270 570024700 583053836 728817295 767176100 1020344213 1074046540 1342558175 1457634590 2040688426 2685116350 2915269180 3644086475 4081376852 5101721065 5370232700 7288172950 10203442130 14576345900 20406884260 25508605325 51017210650 102034421300