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111314410420 = 225194114947951
BaseRepresentation
bin110011110101011011…
…0110001101110110100
3101122022200200221111111
41213222312301232310
53310432442113140
6123045342044404
711020321606543
oct1475266615664
9348280627444
10111314410420
11432320a0114
12196a6b79704
13a65c90c055
14555d9b615a
152d676d27ea
hex19eadb1bb4

111314410420 has 96 divisors (see below), whose sum is σ = 253761984000. Its totient is φ = 40876416000.

The previous prime is 111314410411. The next prime is 111314410421. The reversal of 111314410420 is 24014413111.

It is a junction number, because it is equal to n+sod(n) for n = 111314410391 and 111314410400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111314410421) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2297445 + ... + 2345395.

It is an arithmetic number, because the mean of its divisors is an integer number (2643354000).

Almost surely, 2111314410420 is an apocalyptic number.

111314410420 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 111314410420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126880992000).

111314410420 is an abundant number, since it is smaller than the sum of its proper divisors (142447573580).

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

111314410420 is a wasteful number, since it uses less digits than its factorization.

111314410420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48169 (or 48167 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

Adding to 111314410420 its reverse (24014413111), we get a palindrome (135328823531).

The spelling of 111314410420 in words is "one hundred eleven billion, three hundred fourteen million, four hundred ten thousand, four hundred twenty".

Divisors: 1 2 4 5 10 19 20 38 41 76 82 95 149 164 190 205 298 380 410 596 745 779 820 1490 1558 2831 2980 3116 3895 5662 6109 7790 11324 12218 14155 15580 24436 28310 30545 47951 56620 61090 95902 116071 122180 191804 232142 239755 464284 479510 580355 911069 959020 1160710 1822138 1965991 2321420 3644276 3931982 4555345 7144699 7863964 9110690 9829955 14289398 18221380 19659910 28578796 35723495 37353829 39319820 71446990 74707658 135749281 142893980 149415316 186769145 271498562 292932659 373538290 542997124 585865318 678746405 747076580 1171730636 1357492810 1464663295 2714985620 2929326590 5565720521 5858653180 11131441042 22262882084 27828602605 55657205210 111314410420