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103111021333100 = 225211271120022141
BaseRepresentation
bin10111011100011101100111…
…110011001000101001101100
3111112002022120100210212201202
4113130131213303020221230
5102003332332430124400
61003144314350425032
730501345142151324
oct2734354763105154
9445068510725652
10103111021333100
112a944158497700
12b693734502178
13456c43493c051
141b668587d0284
15bdc24ab034d5
hex5dc767cc8a6c

103111021333100 has 108 divisors (see below), whose sum is σ = 249405050898864. Its totient is φ = 36966819120000.

The previous prime is 103111021333093. The next prime is 103111021333109. The reversal of 103111021333100 is 1333120111301.

It is a super-2 number, since 2×1031110213331002 (a number of 29 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (103111021333109) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 59151971 + ... + 60870170.

Almost surely, 2103111021333100 is an apocalyptic number.

103111021333100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

103111021333100 is an abundant number, since it is smaller than the sum of its proper divisors (146294029565764).

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

103111021333100 is a wasteful number, since it uses less digits than its factorization.

103111021333100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120022248 (or 120022230 counting only the distinct ones).

The product of its (nonzero) digits is 162, while the sum is 20.

Adding to 103111021333100 its reverse (1333120111301), we get a palindrome (104444141444401).

The spelling of 103111021333100 in words is "one hundred three trillion, one hundred eleven billion, twenty-one million, three hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 71 100 110 121 142 220 242 275 284 355 484 550 605 710 781 1100 1210 1420 1562 1775 2420 3025 3124 3550 3905 6050 7100 7810 8591 12100 15620 17182 19525 34364 39050 42955 78100 85910 171820 214775 429550 859100 120022141 240044282 480088564 600110705 1200221410 1320243551 2400442820 2640487102 3000553525 5280974204 6001107050 6601217755 8521572011 12002214100 13202435510 14522679061 17043144022 26404871020 29045358122 33006088775 34086288044 42607860055 58090716244 66012177550 72613395305 85215720110 93737292121 132024355100 145226790610 170431440220 187474584242 213039300275 290453581220 363066976525 374949168484 426078600550 468686460605 726133953050 852157201100 937372921210 1031110213331 1452267906100 1874745842420 2062220426662 2343432303025 4124440853324 4686864606050 5155551066655 9373729212100 10311102133310 20622204266620 25777755333275 51555510666550 103111021333100