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101204103400 = 23524379148961
BaseRepresentation
bin101111001000000111…
…1000001000011101000
3100200020002101010120221
41132100033001003220
53124231222302100
6114254215055424
710211634454021
oct1362017010350
9320202333527
10101204103400
1139a14094884
1217745071574
13970b10c86a
144c80d3bc48
152974cd601a
hex17903c10e8

101204103400 has 96 divisors (see below), whose sum is σ = 243821001600. Its totient is φ = 39039436800.

The previous prime is 101204103391. The next prime is 101204103409. The reversal of 101204103400 is 4301402101.

It is an interprime number because it is at equal distance from previous prime (101204103391) and next prime (101204103409).

It is not an unprimeable number, because it can be changed into a prime (101204103409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 604920 + ... + 753880.

It is an arithmetic number, because the mean of its divisors is an integer number (2539802100).

Almost surely, 2101204103400 is an apocalyptic number.

101204103400 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 101204103400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (121910500800).

101204103400 is an abundant number, since it is smaller than the sum of its proper divisors (142616898200).

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

101204103400 is a wasteful number, since it uses less digits than its factorization.

101204103400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149099 (or 149090 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 16.

Adding to 101204103400 its reverse (4301402101), we get a palindrome (105505505501).

The spelling of 101204103400 in words is "one hundred one billion, two hundred four million, one hundred three thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 79 86 100 158 172 200 215 316 344 395 430 632 790 860 1075 1580 1720 1975 2150 3160 3397 3950 4300 6794 7900 8600 13588 15800 16985 27176 33970 67940 84925 135880 148961 169850 297922 339700 595844 679400 744805 1191688 1489610 2979220 3724025 5958440 6405323 7448050 11767919 12810646 14896100 23535838 25621292 29792200 32026615 47071676 51242584 58839595 64053230 94143352 117679190 128106460 160133075 235358380 256212920 294197975 320266150 470716760 506020517 588395950 640532300 1012041034 1176791900 1281064600 2024082068 2353583800 2530102585 4048164136 5060205170 10120410340 12650512925 20240820680 25301025850 50602051700 101204103400