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113001302300 = 225223318391889
BaseRepresentation
bin110100100111101100…
…1110000100100011100
3101210200020212221010112
41221033121300210130
53322411313133200
6123525002025152
711110164135635
oct1511731604434
9353606787115
10113001302300
1143a1831aa37
1219a97aa81b8
13a86b249123
14567da4888c
152e15847535
hex1a4f67091c

113001302300 has 144 divisors (see below), whose sum is σ = 264583065600. Its totient is φ = 41768601600.

The previous prime is 113001302273. The next prime is 113001302303. The reversal of 113001302300 is 3203100311.

113001302300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113001302303) 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, 59819756 + ... + 59821644.

It is an arithmetic number, because the mean of its divisors is an integer number (1837382400).

Almost surely, 2113001302300 is an apocalyptic number.

113001302300 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 113001302300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132291532800).

113001302300 is an abundant number, since it is smaller than the sum of its proper divisors (151581763300).

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

113001302300 is a wasteful number, since it uses less digits than its factorization.

113001302300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2796 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 54, while the sum is 14.

Adding to 113001302300 its reverse (3203100311), we get a palindrome (116204402611).

The spelling of 113001302300 in words is "one hundred thirteen billion, one million, three hundred two thousand, three hundred".

Divisors: 1 2 4 5 10 20 23 25 31 46 50 62 92 100 115 124 155 230 310 460 575 620 713 775 839 1150 1426 1550 1678 1889 2300 2852 3100 3356 3565 3778 4195 7130 7556 8390 9445 14260 16780 17825 18890 19297 20975 26009 35650 37780 38594 41950 43447 47225 52018 58559 71300 77188 83900 86894 94450 96485 104036 117118 130045 173788 188900 192970 217235 234236 260090 292795 385940 434470 482425 520180 585590 598207 650225 868940 964850 1086175 1171180 1196414 1300450 1346857 1463975 1584871 1929700 2172350 2392828 2600900 2693714 2927950 2991035 3169742 4344700 5387428 5855900 5982070 6339484 6734285 7924355 11964140 13468570 14955175 15848710 26937140 29910350 31697420 33671425 36452033 39621775 49131001 59820700 67342850 72904066 79243550 98262002 134685700 145808132 158487100 182260165 196524004 245655005 364520330 491310010 729040660 911300825 982620020 1130013023 1228275025 1822601650 2260026046 2456550050 3645203300 4520052092 4913100100 5650065115 11300130230 22600260460 28250325575 56500651150 113001302300