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103300131000132 = 2232112337306532217
BaseRepresentation
bin10111011111001101101111…
…100111010000111101000100
3111112202101200202000022212200
4113133031233213100331010
5102014432132014001012
61003411231451114500
730521121354616413
oct2737155747207504
9445671622008780
10103300131000132
112aa07380a14520
12b704310a42a30
134584211980501
141b71a783cb47a
15be2117e4c3dc
hex5df36f9d0f44

103300131000132 has 144 divisors (see below), whose sum is σ = 305276662035072. Its totient is φ = 29132821808640.

The previous prime is 103300131000119. The next prime is 103300131000139. The reversal of 103300131000132 is 231000131003301.

It is a happy number.

103300131000132 is a `hidden beast` number, since 10 + 330 + 0 + 1 + 310 + 0 + 0 + 13 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (103300131000139) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 152929113 + ... + 153603104.

It is an arithmetic number, because the mean of its divisors is an integer number (2119976819688).

Almost surely, 2103300131000132 is an apocalyptic number.

103300131000132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103300131000132 is an abundant number, since it is smaller than the sum of its proper divisors (201976531034940).

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

103300131000132 is a wasteful number, since it uses less digits than its factorization.

103300131000132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 306532298 (or 306532293 counting only the distinct ones).

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

Adding to 103300131000132 its reverse (231000131003301), we get a palindrome (334300262003433).

The spelling of 103300131000132 in words is "one hundred three trillion, three hundred billion, one hundred thirty-one million, one hundred thirty-two", and thus it is an aban number.

Divisors: 1 2 3 4 6 9 11 12 18 22 23 33 36 37 44 46 66 69 74 92 99 111 132 138 148 198 207 222 253 276 333 396 407 414 444 506 666 759 814 828 851 1012 1221 1332 1518 1628 1702 2277 2442 2553 3036 3404 3663 4554 4884 5106 7326 7659 9108 9361 10212 14652 15318 18722 28083 30636 37444 56166 84249 112332 168498 336996 306532217 613064434 919596651 1226128868 1839193302 2758789953 3371854387 3678386604 5517579906 6743708774 7050240991 10115563161 11035159812 11341692029 13487417548 14100481982 20231126322 21150722973 22683384058 28200963964 30346689483 34025076087 40462252644 42301445946 45366768116 60693378966 63452168919 68050152174 77552650901 84602891892 102075228261 121386757932 124758612319 126904337838 136100304348 155105301802 204150456522 232657952703 249517224638 253808675676 260858916667 310210603604 374275836957 408300913044 465315905406 499034449276 521717833334 697973858109 748551673914 782576750001 930631810812 1043435666668 1122827510871 1395947716218 1497103347828 1565153500002 2245655021742 2347730250003 2791895432436 2869448083337 3130307000004 4491310043484 4695460500006 5738896166674 8608344250011 9390921000012 11477792333348 17216688500022 25825032750033 34433377000044 51650065500066 103300131000132