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10134322000 = 2453112771663
BaseRepresentation
bin10010111000000110…
…10111101101010000
3222011021111220021021
421130003113231100
5131223341301000
64353341405224
7506065213165
oct113403275520
928137456237
1010134322000
114330619130
121b69b69814
13c5678a24a
146c1d2a06c
153e4a9211a
hex25c0d7b50

10134322000 has 160 divisors (see below), whose sum is σ = 26845138944. Its totient is φ = 3669696000.

The previous prime is 10134321929. The next prime is 10134322061. The reversal of 10134322000 is 22343101.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (16).

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, 6093169 + ... + 6094831.

Almost surely, 210134322000 is an apocalyptic number.

10134322000 is a gapful number since it is divisible by the number (10) 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 10134322000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13422569472).

10134322000 is an abundant number, since it is smaller than the sum of its proper divisors (16710816944).

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

10134322000 is a wasteful number, since it uses less digits than its factorization.

10134322000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1974 (or 1958 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

Adding to 10134322000 its reverse (22343101), we get a palindrome (10156665101).

The spelling of 10134322000 in words is "ten billion, one hundred thirty-four million, three hundred twenty-two thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 125 176 200 220 250 275 277 400 440 500 550 554 880 1000 1100 1108 1375 1385 1663 2000 2200 2216 2750 2770 3047 3326 4400 4432 5500 5540 6094 6652 6925 8315 11000 11080 12188 13304 13850 15235 16630 18293 22000 22160 24376 26608 27700 30470 33260 34625 36586 41575 48752 55400 60940 66520 69250 73172 76175 83150 91465 110800 121880 133040 138500 146344 152350 166300 182930 207875 243760 277000 292688 304700 332600 365860 380875 415750 457325 460651 554000 609400 665200 731720 761750 831500 914650 921302 1218800 1463440 1523500 1663000 1829300 1842604 2286625 2303255 3047000 3326000 3658600 3685208 4573250 4606510 5067161 6094000 7317200 7370416 9146500 9213020 10134322 11516275 18293000 18426040 20268644 23032550 25335805 36586000 36852080 40537288 46065100 50671610 57581375 81074576 92130200 101343220 115162750 126679025 184260400 202686440 230325500 253358050 405372880 460651000 506716100 633395125 921302000 1013432200 1266790250 2026864400 2533580500 5067161000 10134322000