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113400202032 = 243213471288873
BaseRepresentation
bin110100110011100101…
…1011100001100110000
3101211201001111010200200
41221213023130030300
53324220422431112
6124032331515200
711123106545625
oct1514713341460
9354631433620
10113400202032
1144102504237
1219b895b8b00
13a902a93980
1456baa0434c
152e3a88ecdc
hex1a672dc330

113400202032 has 120 divisors (see below), whose sum is σ = 349047701184. Its totient is φ = 34149952512.

The previous prime is 113400202031. The next prime is 113400202033. The reversal of 113400202032 is 230202004311.

It is an interprime number because it is at equal distance from previous prime (113400202031) and next prime (113400202033).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 113400201996 and 113400202014.

It is not an unprimeable number, because it can be changed into a prime (113400202031) 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, 556453 + ... + 732420.

Almost surely, 2113400202032 is an apocalyptic number.

113400202032 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

113400202032 is an abundant number, since it is smaller than the sum of its proper divisors (235647499152).

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

113400202032 is a wasteful number, since it uses less digits than its factorization.

113400202032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1288947 (or 1288938 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 113400202032 its reverse (230202004311), we get a palindrome (343602206343).

The spelling of 113400202032 in words is "one hundred thirteen billion, four hundred million, two hundred two thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 47 48 52 72 78 94 104 117 141 144 156 188 208 234 282 312 376 423 468 564 611 624 752 846 936 1128 1222 1692 1833 1872 2256 2444 3384 3666 4888 5499 6768 7332 9776 10998 14664 21996 29328 43992 87984 1288873 2577746 3866619 5155492 7733238 10310984 11599857 15466476 16755349 20621968 23199714 30932952 33510698 46399428 50266047 60577031 61865904 67021396 92798856 100532094 121154062 134042792 150798141 181731093 185597712 201064188 242308124 268085584 301596282 363462186 402128376 484616248 545193279 603192564 726924372 787501403 804256752 969232496 1090386558 1206385128 1453848744 1575002806 2180773116 2362504209 2412770256 2907697488 3150005612 4361546232 4725008418 6300011224 7087512627 8723092464 9450016836 12600022448 14175025254 18900033672 28350050508 37800067344 56700101016 113400202032