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103032132033040 = 24572312641632813
BaseRepresentation
bin10111011011010100001001…
…101000010101101000010000
3111111210202221102200012121121
4113123110021220111220100
5102001034301300024130
61003044150311132024
730462553165156060
oct2733241150255020
9444722842605547
10103032132033040
112a913755543961
12b680398674014
134564b71963242
141b62ad337b3a0
15bda17edd0d7a
hex5db509a15a10

103032132033040 has 160 divisors (see below), whose sum is σ = 285697235206656. Its totient is φ = 33786693304320.

The previous prime is 103032132033029. The next prime is 103032132033049. The reversal of 103032132033040 is 40330231230301.

It is a junction number, because it is equal to n+sod(n) for n = 103032132032996 and 103032132033014.

It is not an unprimeable number, because it can be changed into a prime (103032132033049) 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, 162499674 + ... + 163132486.

Almost surely, 2103032132033040 is an apocalyptic number.

103032132033040 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 103032132033040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142848617603328).

103032132033040 is an abundant number, since it is smaller than the sum of its proper divisors (182665103173616).

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

103032132033040 is a wasteful number, since it uses less digits than its factorization.

103032132033040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 645497 (or 645491 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 25.

Adding to 103032132033040 its reverse (40330231230301), we get a palindrome (143362363263341).

The spelling of 103032132033040 in words is "one hundred three trillion, thirty-two billion, one hundred thirty-two million, thirty-three thousand, forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 28 35 40 46 56 70 80 92 112 115 140 161 184 230 280 322 368 460 560 644 805 920 1288 1610 1840 2576 3220 6440 12641 12880 25282 50564 63205 88487 101128 126410 176974 202256 252820 290743 353948 442435 505640 581486 632813 707896 884870 1011280 1162972 1265626 1415792 1453715 1769740 2035201 2325944 2531252 2907430 3164065 3539480 4070402 4429691 4651888 5062504 5814860 6328130 7078960 8140804 8859382 10125008 10176005 11629720 12656260 14554699 16281608 17718764 20352010 22148455 23259440 25312520 29109398 32563216 35437528 40704020 44296910 50625040 58218796 70875056 72773495 81408040 88593820 101882893 116437592 145546990 162816080 177187640 203765786 232875184 291093980 354375280 407531572 509414465 582187960 815063144 1018828930 1164375920 1630126288 2037657860 4075315720 7999389133 8150631440 15998778266 31997556532 39996945665 55995723931 63995113064 79993891330 111991447862 127990226128 159987782660 183985950059 223982895724 279978619655 319975565320 367971900118 447965791448 559957239310 639951130640 735943800236 895931582896 919929750295 1119914478620 1287901650413 1471887600472 1839859500590 2239828957240 2575803300826 2943775200944 3679719001180 4479657914480 5151606601652 6439508252065 7359438002360 10303213203304 12879016504130 14718876004720 20606426406608 25758033008260 51516066016520 103032132033040