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10103230111032 = 2333299511169583
BaseRepresentation
bin1001001100000101011101…
…1100010001110100111000
31022202212012110220020102000
42103001113130101310320
52311012403402023112
633253205420341000
72061635313663162
oct223012734216470
938685173806360
1010103230111032
113245835009373
1211720a73a4760
13583965c1a166
1426cddb175932
15127c1ca277dc
hex93057711d38

10103230111032 has 128 divisors (see below), whose sum is σ = 29035494144000. Its totient is φ = 3251253237120.

The previous prime is 10103230110899. The next prime is 10103230111049. The reversal of 10103230111032 is 23011103230101.

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 = 10103230110996 and 10103230111014.

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, 59492113 + ... + 59661695.

It is an arithmetic number, because the mean of its divisors is an integer number (226839798000).

Almost surely, 210103230111032 is an apocalyptic number.

10103230111032 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 10103230111032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14517747072000).

10103230111032 is an abundant number, since it is smaller than the sum of its proper divisors (18932264032968).

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

10103230111032 is a wasteful number, since it uses less digits than its factorization.

10103230111032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179138 (or 179128 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10103230111032 its reverse (23011103230101), we get a palindrome (33114333341133).

The spelling of 10103230111032 in words is "ten trillion, one hundred three billion, two hundred thirty million, one hundred eleven thousand, thirty-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 29 36 54 58 72 87 108 116 174 216 232 261 348 522 696 783 1044 1566 2088 3132 6264 9511 19022 28533 38044 57066 76088 85599 114132 169583 171198 228264 256797 275819 339166 342396 508749 513594 551638 678332 684792 827457 1017498 1027188 1103276 1356664 1526247 1654914 2034996 2054376 2206552 2482371 3052494 3309828 4069992 4578741 4917907 4964742 6104988 6619656 7447113 9157482 9835814 9929484 12209976 14753721 14894226 18314964 19671628 19858968 29507442 29788452 36629928 39343256 44261163 59014884 59576904 88522326 118029768 132783489 177044652 265566978 354089304 531133956 1062267912 1612903913 3225807826 4838711739 6451615652 9677423478 12903231304 14516135217 19354846956 29032270434 38709693912 43548405651 46774213477 58064540868 87096811302 93548426954 116129081736 140322640431 174193622604 187096853908 280645280862 348387245208 374193707816 420967921293 561290561724 841935842586 1122581123448 1262903763879 1683871685172 2525807527758 3367743370344 5051615055516 10103230111032