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103434113400 = 23352527332693
BaseRepresentation
bin110000001010100100…
…1110101000101111000
3100212222111112101012220
41200111021311011320
53143313113112100
6115303400004040
710321123312632
oct1402511650570
9325874471186
10103434113400
113a958951352
1218067a60620
1399a511a8c7
14501318ba52
152a5597eaa0
hex1815275178

103434113400 has 96 divisors (see below), whose sum is σ = 320716370160. Its totient is φ = 27576355840.

The previous prime is 103434113389. The next prime is 103434113401. The reversal of 103434113400 is 4311434301.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103434113401) 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, 3147454 + ... + 3180146.

Almost surely, 2103434113400 is an apocalyptic number.

103434113400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103434113400 is an abundant number, since it is smaller than the sum of its proper divisors (217282256760).

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

103434113400 is a wasteful number, since it uses less digits than its factorization.

103434113400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37985 (or 37976 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103434113400 its reverse (4311434301), we get a palindrome (107745547701).

The spelling of 103434113400 in words is "one hundred three billion, four hundred thirty-four million, one hundred thirteen thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 5273 10546 15819 21092 26365 31638 32693 42184 52730 63276 65386 79095 98079 105460 126552 130772 131825 158190 163465 196158 210920 261544 263650 316380 326930 392316 395475 490395 527300 632760 653860 784632 790950 817325 980790 1054600 1307720 1581900 1634650 1961580 2451975 3163800 3269300 3923160 4903950 6538600 9807900 19615800 172390189 344780378 517170567 689560756 861950945 1034341134 1379121512 1723901890 2068682268 2585852835 3447803780 4137364536 4309754725 5171705670 6895607560 8619509450 10343411340 12929264175 17239018900 20686822680 25858528350 34478037800 51717056700 103434113400