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100010230023 = 311194173137389
BaseRepresentation
bin101110100100100010…
…0110000000100000111
3100120010212220002012110
41131021010300010013
53114310104330043
6113535530152103
710140226633434
oct1351104600407
9316125802173
10100010230023
1139461193070
1217471282633
13957a981c02
144baa564b8b
1529050aab33
hex1749130107

100010230023 has 128 divisors (see below), whose sum is σ = 160581657600. Its totient is φ = 54709862400.

The previous prime is 100010229983. The next prime is 100010230031. The reversal of 100010230023 is 320032010001.

It is a happy number.

It is not a de Polignac number, because 100010230023 - 221 = 100008132871 is a prime.

It is a super-2 number, since 2×1000102300232 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 100010229990 and 100010230008.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (100010238023) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 257095513 + ... + 257095901.

It is an arithmetic number, because the mean of its divisors is an integer number (1254544200).

Almost surely, 2100010230023 is an apocalyptic number.

100010230023 is a deficient number, since it is larger than the sum of its proper divisors (60571427577).

100010230023 is a wasteful number, since it uses less digits than its factorization.

100010230023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 673.

The product of its (nonzero) digits is 36, while the sum is 12.

Adding to 100010230023 its reverse (320032010001), we get a palindrome (420042240024).

It can be divided in two parts, 100010 and 230023, that added together give a palindrome (330033).

The spelling of 100010230023 in words is "one hundred billion, ten million, two hundred thirty thousand, twenty-three".

Divisors: 1 3 11 19 33 41 57 73 123 137 209 219 389 411 451 627 779 803 1167 1353 1387 1507 2337 2409 2603 2993 4161 4279 4521 5617 7391 7809 8569 8979 10001 12837 15257 15949 16851 22173 25707 28397 28633 30003 32923 45771 47847 53293 56867 61787 81301 85191 85899 98769 106723 110011 159879 170601 175439 185361 190019 243903 303031 312367 320169 330033 410041 526317 539543 570057 586223 625537 909093 937101 1012567 1164277 1173953 1230123 1618629 1758669 1876611 2090209 2185013 3037701 3333341 3492831 3521859 3890389 4510451 5934973 6270627 6555039 7790779 10000023 11138237 11671167 12807047 13531353 17804919 22121263 23372337 24035143 33414711 38421141 41515247 42794279 66363789 72105429 73917391 85698569 124545741 128382837 159505949 221752173 243333893 257095707 456667717 478517847 730001679 813091301 1370003151 1754565439 2439273903 3030613031 5263696317 9091839093 33336743341 100010230023