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103233012121332 = 223217949132627333
BaseRepresentation
bin10111011110001111001111…
…000001000011111011110100
3111112111222110010000000021200
4113132033033001003323310
5102012332202100340312
61003320331400412500
730513224163561132
oct2736171701037364
9445458403000250
10103233012121332
112a990969077455
12b6b32baa77130
13457aaa63c6902
141b6c70c2b4752
15be04da74c0dc
hex5de3cf043ef4

103233012121332 has 72 divisors (see below), whose sum is σ = 262942379612640. Its totient is φ = 34149070764480.

The previous prime is 103233012121307. The next prime is 103233012121333. The reversal of 103233012121332 is 233121210332301.

103233012121332 is a `hidden beast` number, since 1 + 0 + 3 + 2 + 3 + 301 + 2 + 1 + 21 + 332 = 666.

It is a super-3 number, since 3×1032330121213323 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103233012121296 and 103233012121305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (103233012121333) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13149663 + ... + 19477670.

It is an arithmetic number, because the mean of its divisors is an integer number (3651977494620).

Almost surely, 2103233012121332 is an apocalyptic number.

103233012121332 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

103233012121332 is an abundant number, since it is smaller than the sum of its proper divisors (159709367491308).

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

103233012121332 is a wasteful number, since it uses less digits than its factorization.

103233012121332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32628013 (or 32628008 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 27.

Adding to 103233012121332 its reverse (233121210332301), we get a palindrome (336354222453633).

The spelling of 103233012121332 in words is "one hundred three trillion, two hundred thirty-three billion, twelve million, one hundred twenty-one thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 36 179 358 491 537 716 982 1074 1473 1611 1964 2148 2946 3222 4419 5892 6444 8838 17676 87889 175778 263667 351556 527334 791001 1054668 1582002 3164004 32627333 65254666 97881999 130509332 195763998 293645997 391527996 587291994 1174583988 5840292607 11680585214 16020020503 17520877821 23361170428 32040041006 35041755642 48060061509 52562633463 64080082012 70083511284 96120123018 105125266926 144180184527 192240246036 210250533852 288360369054 576720738108 2867583670037 5735167340074 8602751010111 11470334680148 17205502020222 25808253030333 34411004040444 51616506060666 103233012121332