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10340155350 = 23252715121739
BaseRepresentation
bin10011010000101001…
…00011111111010110
3222200121211022112200
421220110203333112
5132134034432400
64430013225330
7514144604340
oct115024437726
928617738480
1010340155350
114426825838
122006a92246
13c8a307725
147013ca290
15407b9eb00
hex268523fd6

10340155350 has 144 divisors (see below), whose sum is σ = 31960930560. Its totient is φ = 2347704000.

The previous prime is 10340155339. The next prime is 10340155381. The reversal of 10340155350 is 5355104301.

10340155350 is a `hidden beast` number, since 103 + 4 + 0 + 1 + 553 + 5 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 464781 + ... + 486519.

Almost surely, 210340155350 is an apocalyptic number.

10340155350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10340155350, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15980465280).

10340155350 is an abundant number, since it is smaller than the sum of its proper divisors (21620775210).

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

10340155350 is a wasteful number, since it uses less digits than its factorization.

10340155350 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21915 (or 21907 counting only the distinct ones).

The product of its (nonzero) digits is 4500, while the sum is 27.

Adding to 10340155350 its reverse (5355104301), we get a palindrome (15695259651).

The spelling of 10340155350 in words is "ten billion, three hundred forty million, one hundred fifty-five thousand, three hundred fifty".

Divisors: 1 2 3 5 6 7 9 10 14 15 18 21 25 30 35 42 45 50 63 70 75 90 105 126 150 151 175 210 225 302 315 350 450 453 525 630 755 906 1050 1057 1359 1510 1575 2114 2265 2718 3150 3171 3775 4530 5285 6342 6795 7550 9513 10570 11325 13590 15855 19026 21739 22650 26425 31710 33975 43478 47565 52850 65217 67950 79275 95130 108695 130434 152173 158550 195651 217390 237825 304346 326085 391302 456519 475650 543475 652170 760865 913038 978255 1086950 1369557 1521730 1630425 1956510 2282595 2739114 3260850 3282589 3804325 4565190 4891275 6565178 6847785 7608650 9782550 9847767 11412975 13695570 16412945 19695534 22825950 22978123 29543301 32825890 34238925 45956246 49238835 59086602 68477850 68934369 82064725 98477670 114890615 137868738 147716505 164129450 206803107 229781230 246194175 295433010 344671845 413606214 492388350 574453075 689343690 738582525 1034015535 1148906150 1477165050 1723359225 2068031070 3446718450 5170077675 10340155350