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10323230311100 = 22527101402136313
BaseRepresentation
bin1001011000111001000001…
…1110011100001010111100
31100112220001200002100121002
42112032100132130022330
52323113433424423400
633542232044225432
72113554161556320
oct226162036341274
940486050070532
1010323230311100
11332006a425933
1211a8864b3b278
1359b626984035
1427990b591980
1512d7e6c56ed5
hex9639079c2bc

10323230311100 has 144 divisors (see below), whose sum is σ = 25862234669376. Its totient is φ = 3503381760000.

The previous prime is 10323230311091. The next prime is 10323230311111. The reversal of 10323230311100 is 111303232301.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 284266544 + ... + 284302856.

Almost surely, 210323230311100 is an apocalyptic number.

10323230311100 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 10323230311100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12931117334688).

10323230311100 is an abundant number, since it is smaller than the sum of its proper divisors (15539004358276).

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

10323230311100 is a wasteful number, since it uses less digits than its factorization.

10323230311100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40456 (or 40449 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 20.

Adding to 10323230311100 its reverse (111303232301), we get a palindrome (10434533543401).

The spelling of 10323230311100 in words is "ten trillion, three hundred twenty-three billion, two hundred thirty million, three hundred eleven thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 101 140 175 202 350 404 505 700 707 1010 1414 2020 2525 2828 3535 4021 5050 7070 8042 10100 14140 16084 17675 20105 28147 35350 36313 40210 56294 70700 72626 80420 100525 112588 140735 145252 181565 201050 254191 281470 363130 402100 406121 508382 562940 703675 726260 812242 907825 1016764 1270955 1407350 1624484 1815650 2030605 2541910 2814700 2842847 3631300 3667613 4061210 5083820 5685694 6354775 7335226 8122420 10153025 11371388 12709550 14214235 14670452 18338065 20306050 25419100 25673291 28428470 36676130 40612100 51346582 56856940 71071175 73352260 91690325 102693164 128366455 142142350 146014573 183380650 256732910 284284700 292029146 366761300 513465820 584058292 641832275 730072865 1022102011 1283664550 1460145730 2044204022 2567329100 2920291460 3650364325 4088408044 5110510055 7300728650 10221020110 14601457300 14747471873 20442040220 25552550275 29494943746 51105100550 58989887492 73737359365 102210201100 103232303111 147474718730 206464606222 294949437460 368686796825 412929212444 516161515555 737373593650 1032323031110 1474747187300 2064646062220 2580807577775 5161615155550 10323230311100