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103034100 = 223521329911
BaseRepresentation
bin1100010010000…
…10110011110100
321011212200012210
412021002303310
5202334042400
614120213420
72360526651
oct611026364
9234780183
10103034100
1153184054
122a60a270
1318466830
14d980c28
1590a3950
hex6242cf4

103034100 has 144 divisors (see below), whose sum is σ = 332478720. Its totient is φ = 24460800.

The previous prime is 103034083. The next prime is 103034101. The reversal of 103034100 is 1430301.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103034101) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 112645 + ... + 113555.

It is an arithmetic number, because the mean of its divisors is an integer number (2308880).

Almost surely, 2103034100 is an apocalyptic number.

103034100 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 103034100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166239360).

103034100 is an abundant number, since it is smaller than the sum of its proper divisors (229444620).

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

103034100 is a wasteful number, since it uses less digits than its factorization.

103034100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 963 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 12.

The square root of 103034100 is about 10150.5714124871. The cubic root of 103034100 is about 468.8065389580.

Adding to 103034100 its reverse (1430301), we get a palindrome (104464401).

The spelling of 103034100 in words is "one hundred three million, thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 29 30 39 50 52 58 60 65 75 78 87 100 116 130 145 150 156 174 195 260 290 300 325 348 377 390 435 580 650 725 754 780 870 911 975 1131 1300 1450 1508 1740 1822 1885 1950 2175 2262 2733 2900 3644 3770 3900 4350 4524 4555 5466 5655 7540 8700 9110 9425 10932 11310 11843 13665 18220 18850 22620 22775 23686 26419 27330 28275 35529 37700 45550 47372 52838 54660 56550 59215 68325 71058 79257 91100 105676 113100 118430 132095 136650 142116 158514 177645 236860 264190 273300 296075 317028 343447 355290 396285 528380 592150 660475 686894 710580 792570 888225 1030341 1184300 1320950 1373788 1585140 1717235 1776450 1981425 2060682 2641900 3434470 3552900 3962850 4121364 5151705 6868940 7925700 8586175 10303410 17172350 20606820 25758525 34344700 51517050 103034100