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103040101400 = 23521973317901
BaseRepresentation
bin101111111110110101…
…0110010110000011000
3100211222001010111100212
41133331222302300120
53142011231221100
6115200322550252
710305300260615
oct1377552626030
9324861114325
10103040101400
113a7764a62a5
1217b77b08388
1399415c4a02
144db6b0550c
152a310a0635
hex17fdab2c18

103040101400 has 96 divisors (see below), whose sum is σ = 241542330480. Its totient is φ = 40877760000.

The previous prime is 103040101369. The next prime is 103040101403. The reversal of 103040101400 is 4101040301.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103040101403) 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, 13037450 + ... + 13045350.

Almost surely, 2103040101400 is an apocalyptic number.

103040101400 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 103040101400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120771165240).

103040101400 is an abundant number, since it is smaller than the sum of its proper divisors (138502229080).

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

103040101400 is a wasteful number, since it uses less digits than its factorization.

103040101400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8445 (or 8436 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 14.

Adding to 103040101400 its reverse (4101040301), we get a palindrome (107141141701).

The spelling of 103040101400 in words is "one hundred three billion, forty million, one hundred one thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 197 200 331 394 662 788 985 1324 1576 1655 1970 2648 3310 3940 4925 6620 7880 7901 8275 9850 13240 15802 16550 19700 31604 33100 39400 39505 63208 65207 66200 79010 130414 158020 197525 260828 316040 326035 395050 521656 652070 790100 1304140 1556497 1580200 1630175 2608280 2615231 3112994 3260350 5230462 6225988 6520700 7782485 10460924 12451976 13041400 13076155 15564970 20921848 26152310 31129940 38912425 52304620 62259880 65380775 77824850 104609240 130761550 155649700 261523100 311299400 515200507 523046200 1030401014 2060802028 2576002535 4121604056 5152005070 10304010140 12880012675 20608020280 25760025350 51520050700 103040101400