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104034145332 = 223133135336089
BaseRepresentation
bin110000011100011101…
…0110001010000110100
3100221112022121011021210
41200320322301100310
53201030220122312
6115443112441420
710342030434105
oct1407072612064
9327468534253
10104034145332
1140136621207
12181b49a9270
139a6c527ba0
14506cb423ac
152a8d4a6e3c
hex1838eb1434

104034145332 has 96 divisors (see below), whose sum is σ = 269972720640. Its totient is φ = 30964055040.

The previous prime is 104034145249. The next prime is 104034145337. The reversal of 104034145332 is 233541430401.

It is a self number, because there is not a number n which added to its sum of digits gives 104034145332.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104034145337) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17082544 + ... + 17088632.

It is an arithmetic number, because the mean of its divisors is an integer number (2812215840).

Almost surely, 2104034145332 is an apocalyptic number.

104034145332 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 104034145332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134986360320).

104034145332 is an abundant number, since it is smaller than the sum of its proper divisors (165938575308).

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

104034145332 is a wasteful number, since it uses less digits than its factorization.

104034145332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9673 (or 9671 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

Adding to 104034145332 its reverse (233541430401), we get a palindrome (337575575733).

The spelling of 104034145332 in words is "one hundred four billion, thirty-four million, one hundred forty-five thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 12 13 26 31 39 52 62 78 93 124 156 186 372 403 806 1209 1612 2418 3533 4836 6089 7066 10599 12178 14132 18267 21198 24356 36534 42396 45929 73068 79157 91858 109523 137787 158314 183716 188759 219046 237471 275574 316628 328569 377518 438092 474942 551148 566277 657138 755036 949884 1132554 1314276 1423799 2265108 2453867 2847598 4271397 4907734 5695196 7361601 8542794 9815468 14723202 17085588 21512437 29446404 43024874 64537311 86049748 129074622 258149244 279661681 559323362 666885547 838985043 1118646724 1333771094 1677970086 2000656641 2667542188 3355940172 4001313282 8002626564 8669512111 17339024222 26008536333 34678048444 52017072666 104034145332