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103214034132 = 223113139436397
BaseRepresentation
bin110000000100000001…
…0010010110011010100
3100212102011102012012220
41200020002102303110
53142340243043012
6115225454542340
710312511546256
oct1401002226324
9325364365186
10103214034132
113a8556a4560
12180062079b0
13996b6530a1
144dd1c5dcd6
152a414ab08c
hex1808092cd4

103214034132 has 96 divisors (see below), whose sum is σ = 271312871424. Its totient is φ = 30255638400.

The previous prime is 103214034109. The next prime is 103214034179. The reversal of 103214034132 is 231430412301.

It is a happy number.

103214034132 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 16131558 + ... + 16137954.

It is an arithmetic number, because the mean of its divisors is an integer number (2826175744).

Almost surely, 2103214034132 is an apocalyptic number.

103214034132 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 103214034132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135656435712).

103214034132 is an abundant number, since it is smaller than the sum of its proper divisors (168098837292).

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

103214034132 is a wasteful number, since it uses less digits than its factorization.

103214034132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10389 (or 10387 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 103214034132 its reverse (231430412301), we get a palindrome (334644446433).

The spelling of 103214034132 in words is "one hundred three billion, two hundred fourteen million, thirty-four thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 124 132 186 341 372 682 1023 1364 2046 3943 4092 6397 7886 11829 12794 15772 19191 23658 25588 38382 43373 47316 70367 76764 86746 122233 130119 140734 173492 198307 211101 244466 260238 281468 366699 396614 422202 488932 520476 594921 733398 793228 844404 1189842 1344563 1466796 2181377 2379684 2689126 4033689 4362754 5378252 6544131 8067378 8725508 13088262 16134756 25223371 26176524 50446742 75670113 100893484 151340226 277457081 302680452 554914162 781924501 832371243 1109828324 1563849002 1664742486 2345773503 3127698004 3329484972 4691547006 8601169511 9383094012 17202339022 25803508533 34404678044 51607017066 103214034132