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12101004240 = 24351319204133
BaseRepresentation
bin10110100010100011…
…01010101111010000
31011020100011201010020
423101101222233100
5144240324113430
65320434303440
7605605560513
oct132121525720
934210151106
1012101004240
11514a779656
122418727b80
1311ab06a450
1482b1d0d7a
154ac572b10
hex2d146abd0

12101004240 has 160 divisors (see below), whose sum is σ = 42525194880. Its totient is φ = 2821920768.

The previous prime is 12101004197. The next prime is 12101004281. The reversal of 12101004240 is 4240010121.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42787 + ... + 161346.

It is an arithmetic number, because the mean of its divisors is an integer number (265782468).

Almost surely, 212101004240 is an apocalyptic number.

12101004240 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 12101004240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21262597440).

12101004240 is an abundant number, since it is smaller than the sum of its proper divisors (30424190640).

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

12101004240 is a wasteful number, since it uses less digits than its factorization.

12101004240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204181 (or 204175 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 12101004240 its reverse (4240010121), we get a palindrome (16341014361).

The spelling of 12101004240 in words is "twelve billion, one hundred one million, four thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 19 20 24 26 30 38 39 40 48 52 57 60 65 76 78 80 95 104 114 120 130 152 156 190 195 208 228 240 247 260 285 304 312 380 390 456 494 520 570 624 741 760 780 912 988 1040 1140 1235 1482 1520 1560 1976 2280 2470 2964 3120 3705 3952 4560 4940 5928 7410 9880 11856 14820 19760 29640 59280 204133 408266 612399 816532 1020665 1224798 1633064 2041330 2449596 2653729 3061995 3266128 3878527 4082660 4899192 5307458 6123990 7757054 7961187 8165320 9798384 10614916 11635581 12247980 13268645 15514108 15922374 16330640 19392635 21229832 23271162 24495960 26537290 31028216 31844748 38785270 39805935 42459664 46542324 48991920 50420851 53074580 58177905 62056432 63689496 77570540 79611870 93084648 100841702 106149160 116355810 127378992 151262553 155141080 159223740 186169296 201683404 212298320 232711620 252104255 302525106 310282160 318447480 403366808 465423240 504208510 605050212 636894960 756312765 806733616 930846480 1008417020 1210100424 1512625530 2016834040 2420200848 3025251060 4033668080 6050502120 12101004240