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104002350354 = 23472115111383
BaseRepresentation
bin110000011011100000…
…1011110110100010010
3100221110002202210210000
41200313001132310102
53200444100202404
6115440015150430
710341163251300
oct1406701366422
9327402683700
10104002350354
114011a685171
12181a6215416
139a65a74ba6
145068827270
152a8a7c6339
hex183705ed12

104002350354 has 120 divisors (see below), whose sum is σ = 271349388288. Its totient is φ = 29686532400.

The previous prime is 104002350317. The next prime is 104002350409. The reversal of 104002350354 is 453053200401.

104002350354 is a `hidden beast` number, since 104 + 0 + 0 + 2 + 3 + 503 + 54 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9130947 + ... + 9142329.

Almost surely, 2104002350354 is an apocalyptic number.

104002350354 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 104002350354, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135674694144).

104002350354 is an abundant number, since it is smaller than the sum of its proper divisors (167347037934).

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

104002350354 is a wasteful number, since it uses less digits than its factorization.

104002350354 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12562 (or 12546 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 104002350354 its reverse (453053200401), we get a palindrome (557055550755).

The spelling of 104002350354 in words is "one hundred four billion, two million, three hundred fifty thousand, three hundred fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 49 54 63 81 98 126 147 162 189 294 378 441 567 882 1134 1151 1323 2302 2646 3453 3969 6906 7938 8057 10359 11383 16114 20718 22766 24171 31077 34149 48342 56399 62154 68298 72513 79681 93231 102447 112798 145026 159362 169197 186462 204894 217539 239043 307341 338394 435078 478086 507591 557767 614682 652617 717129 922023 1015182 1115534 1305234 1434258 1522773 1673301 1844046 2151387 3045546 3346602 4302774 4568319 5019903 6454161 9136638 10039806 12908322 13101833 15059709 26203666 30119418 39305499 45179127 78610998 90358254 91712831 117916497 183425662 235832994 275138493 353749491 550276986 641989817 707498982 825415479 1061248473 1283979634 1650830958 1925969451 2122496946 2476246437 3851938902 4952492874 5777908353 7428739311 11555816706 14857478622 17333725059 34667450118 52001175177 104002350354