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113010200400 = 24352259336319
BaseRepresentation
bin110100100111111101…
…1101100111101010000
3101210200212122000000210
41221033323230331100
53322421102403100
6123525520444120
711110332565626
oct1511773547520
9353625560023
10113010200400
1143a22348239
1219a9aa79640
13a870043286
145680cc3516
152e16503c50
hex1a4feecf50

113010200400 has 120 divisors (see below), whose sum is σ = 362158923520. Its totient is φ = 30123601920.

The previous prime is 113010200393. The next prime is 113010200411. The reversal of 113010200400 is 4002010311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3093441 + ... + 3129759.

Almost surely, 2113010200400 is an apocalyptic number.

113010200400 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 113010200400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181079461760).

113010200400 is an abundant number, since it is smaller than the sum of its proper divisors (249148723120).

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

113010200400 is a wasteful number, since it uses less digits than its factorization.

113010200400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38933 (or 38922 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 113010200400 its reverse (4002010311), we get a palindrome (117012210711).

The spelling of 113010200400 in words is "one hundred thirteen billion, ten million, two hundred thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 150 200 240 300 400 600 1200 2593 5186 7779 10372 12965 15558 20744 25930 31116 36319 38895 41488 51860 62232 64825 72638 77790 103720 108957 124464 129650 145276 155580 181595 194475 207440 217914 259300 290552 311160 363190 388950 435828 518600 544785 581104 622320 726380 777900 871656 907975 1037200 1089570 1452760 1555800 1743312 1815950 2179140 2723925 2905520 3111600 3631900 4358280 5447850 7263800 8716560 10895700 14527600 21791400 43582800 94175167 188350334 282525501 376700668 470875835 565051002 753401336 941751670 1130102004 1412627505 1506802672 1883503340 2260204008 2354379175 2825255010 3767006680 4520408016 4708758350 5650510020 7063137525 7534013360 9417516700 11301020040 14126275050 18835033400 22602040080 28252550100 37670066800 56505100200 113010200400