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1123301031030 = 233531829316183
BaseRepresentation
bin10000010110001001111…
…101010111110001110110
310222101102210001210021000
4100112021331113301312
5121401010030443110
62220012023304130
7144104306136423
oct20261175276166
93871383053230
101123301031030
113a3431169532
121618532ab046
1381c083365b9
143c521d56d4a
151e3464251c0
hex10589f57c76

1123301031030 has 128 divisors (see below), whose sum is σ = 3092661411840. Its totient is φ = 289831271040.

The previous prime is 1123301030987. The next prime is 1123301031031. The reversal of 1123301031030 is 301301033211.

It is a happy number.

1123301031030 is a `hidden beast` number, since 1 + 1 + 23 + 301 + 0 + 310 + 30 = 666.

It is a super-2 number, since 2×11233010310302 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1123301030994 and 1123301031012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1123301031031) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 69404319 + ... + 69420501.

It is an arithmetic number, because the mean of its divisors is an integer number (24161417280).

Almost surely, 21123301031030 is an apocalyptic number.

1123301031030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1123301031030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1546330705920).

1123301031030 is an abundant number, since it is smaller than the sum of its proper divisors (1969360380810).

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

1123301031030 is a wasteful number, since it uses less digits than its factorization.

1123301031030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24523 (or 24517 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 18.

Adding to 1123301031030 its reverse (301301033211), we get a palindrome (1424602064241).

The spelling of 1123301031030 in words is "one trillion, one hundred twenty-three billion, three hundred one million, thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 31 45 54 62 90 93 135 155 186 270 279 310 465 558 837 930 1395 1674 2790 4185 8293 8370 16183 16586 24879 32366 41465 48549 49758 74637 80915 82930 97098 124395 145647 149274 161830 223911 242745 248790 257083 291294 373185 436941 447822 485490 501673 514166 728235 746370 771249 873882 1003346 1119555 1285415 1456470 1505019 1542498 2184705 2239110 2313747 2508365 2570830 3010038 3856245 4369410 4515057 4627494 5016730 6941241 7525095 7712490 9030114 11568735 13545171 13882482 15050190 22575285 23137470 27090342 34706205 45150570 67725855 69412410 134205619 135451710 268411238 402616857 671028095 805233714 1207850571 1342056190 2013084285 2415701142 3623551713 4026168570 4160374189 6039252855 7247103426 8320748378 12078505710 12481122567 18117758565 20801870945 24962245134 36235517130 37443367701 41603741890 62405612835 74886735402 112330103103 124811225670 187216838505 224660206206 374433677010 561650515515 1123301031030