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10132030223232 = 273233073736793
BaseRepresentation
bin1001001101110000110000…
…0011111111001110000000
31022212121112121101112011020
42103130030003333032000
52312000344214120412
633314331310545440
72064005103621651
oct223341403771600
938777477345136
1010132030223232
113256a73a12995
1211777a4508280
135865a5829b78
142705700bd528
1512885613918c
hex9370c0ff380

10132030223232 has 128 divisors (see below), whose sum is σ = 28174828872960. Its totient is φ = 3219978719232.

The previous prime is 10132030223221. The next prime is 10132030223233. The reversal of 10132030223232 is 23232203023101.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10132030223233) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 843028 + ... + 4579820.

It is an arithmetic number, because the mean of its divisors is an integer number (220115850570).

Almost surely, 210132030223232 is an apocalyptic number.

10132030223232 is a gapful number since it is divisible by the number (12) 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 10132030223232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14087414436480).

10132030223232 is an abundant number, since it is smaller than the sum of its proper divisors (18042798649728).

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

10132030223232 is a wasteful number, since it uses less digits than its factorization.

10132030223232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737140 (or 3737128 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 24.

Adding to 10132030223232 its reverse (23232203023101), we get a palindrome (33364233246333).

The spelling of 10132030223232 in words is "ten trillion, one hundred thirty-two billion, thirty million, two hundred twenty-three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 128 138 184 192 276 307 368 384 552 614 736 921 1104 1228 1472 1842 2208 2456 2944 3684 4416 4912 7061 7368 8832 9824 14122 14736 19648 21183 28244 29472 39296 42366 56488 58944 84732 112976 117888 169464 225952 338928 451904 677856 903808 1355712 2711424 3736793 7473586 11210379 14947172 22420758 29894344 44841516 59788688 85946239 89683032 119577376 171892478 179366064 239154752 257838717 343784956 358732128 478309504 515677434 687569912 717464256 1031354868 1147195451 1375139824 1434928512 2062709736 2294390902 2750279648 3441586353 4125419472 4588781804 5500559296 6883172706 8250838944 9177563608 11001118592 13766345412 16501677888 18355127216 26385495373 27532690824 33003355776 36710254432 52770990746 55065381648 73420508864 79156486119 105541981492 110130763296 146841017728 158312972238 211083962984 220261526592 316625944476 422167925968 440523053184 633251888952 844335851936 1266503777904 1688671703872 2533007555808 3377343407744 5066015111616 10132030223232