Search a number
-
+
10333110030132 = 22323647445712983
BaseRepresentation
bin1001011001011101110101…
…0110100100111100110100
31100120211120012112002020210
42112113131112210330310
52323244202131431012
633550544253025420
72114354046030021
oct226273526447464
940524505462223
1010333110030132
11332427a256a8a
1211aa761785270
1359c53c779726
1427a1a7764548
1512dbc42a623c
hex965dd5a4f34

10333110030132 has 96 divisors (see below), whose sum is σ = 25205356818432. Its totient is φ = 3288531279616.

The previous prime is 10333110030127. The next prime is 10333110030149. The reversal of 10333110030132 is 23103001133301.

It is a junction number, because it is equal to n+sod(n) for n = 10333110030099 and 10333110030108.

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, 795888913 + ... + 795901895.

It is an arithmetic number, because the mean of its divisors is an integer number (262555800192).

Almost surely, 210333110030132 is an apocalyptic number.

10333110030132 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 10333110030132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12602678409216).

10333110030132 is an abundant number, since it is smaller than the sum of its proper divisors (14872246788300).

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

10333110030132 is a wasteful number, since it uses less digits than its factorization.

10333110030132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18117 (or 18115 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 10333110030132 its reverse (23103001133301), we get a palindrome (33436111163433).

The spelling of 10333110030132 in words is "ten trillion, three hundred thirty-three billion, one hundred ten million, thirty thousand, one hundred thirty-two".

Divisors: 1 2 3 4 6 12 23 46 69 92 138 276 647 1294 1941 2588 3882 4457 7764 8914 12983 13371 14881 17828 25966 26742 29762 38949 44643 51932 53484 59524 77898 89286 102511 155796 178572 205022 298609 307533 410044 597218 615066 895827 1194436 1230132 1791654 2883679 3583308 5767358 8400001 8651037 11534716 16800002 17302074 25200003 33600004 34604148 50400006 57865231 66324617 100800012 115730462 132649234 173595693 193200023 198973851 231460924 265298468 347191386 386400046 397947702 579600069 694382772 772800092 795895404 1159200138 1330900313 2318400276 2661800626 3992700939 5323601252 7985401878 15970803756 37438804457 74877608914 112316413371 149755217828 224632826742 449265653484 861092502511 1722185005022 2583277507533 3444370010044 5166555015066 10333110030132