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101213103123 = 3411235393187
BaseRepresentation
bin101111001000011000…
…1010110010000010011
3100200020201022100220000
41132100301112100103
53124241023244443
6114255140021043
710212104116206
oct1362061262023
9320221270800
10101213103123
1139a19181470
1217748091783
13970cc41042
144c8220193d
1529759b28d3
hex1790c56413

101213103123 has 80 divisors (see below), whose sum is σ = 175360432896. Its totient is φ = 57566583360.

The previous prime is 101213103107. The next prime is 101213103137. The reversal of 101213103123 is 321301312101.

It is not a de Polignac number, because 101213103123 - 24 = 101213103107 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 101213103096 and 101213103105.

It is not an unprimeable number, because it can be changed into a prime (101213103163) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1039536 + ... + 1132722.

Almost surely, 2101213103123 is an apocalyptic number.

101213103123 is a deficient number, since it is larger than the sum of its proper divisors (74147329773).

101213103123 is a wasteful number, since it uses less digits than its factorization.

101213103123 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93286 (or 93277 counting only the distinct ones).

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

Adding to 101213103123 its reverse (321301312101), we get a palindrome (422514415224).

The spelling of 101213103123 in words is "one hundred one billion, two hundred thirteen million, one hundred three thousand, one hundred twenty-three".

Divisors: 1 3 9 11 23 27 33 53 69 81 99 159 207 253 297 477 583 621 759 891 1219 1431 1749 1863 2277 3657 4293 5247 6831 10971 13409 15741 20493 32913 40227 47223 93187 98739 120681 279561 362043 838683 1025057 1086129 2143301 2516049 3075171 4938911 6429903 7548147 9225513 14816733 19289709 23576311 27676539 44450199 54328021 57869127 70728933 83029617 113594953 133350597 162984063 173607381 212186799 340784859 400051791 488952189 636560397 1022354577 1249544483 1466856567 1909681191 3067063731 3748633449 4400569701 9201191193 11245900347 33737701041 101213103123