Search a number
-
+
11231513420 = 22517892391553
BaseRepresentation
bin10100111010111001…
…10100101101001100
31001222202001222221112
422131130310231030
5141000231412140
65054254151152
7545220201041
oct123534645514
931882058845
1011231513420
1148439952a6
1222154b24b8
13109cb9673a
147879371c8
1545b070c65
hex29d734b4c

11231513420 has 96 divisors (see below), whose sum is σ = 25376198400. Its totient is φ = 4160651264.

The previous prime is 11231513411. The next prime is 11231513483. The reversal of 11231513420 is 2431513211.

It is a super-2 number, since 2×112315134202 (a number of 21 digits) contains 22 as substring.

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, 7231364 + ... + 7232916.

It is an arithmetic number, because the mean of its divisors is an integer number (264335400).

Almost surely, 211231513420 is an apocalyptic number.

11231513420 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 11231513420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12688099200).

11231513420 is an abundant number, since it is smaller than the sum of its proper divisors (14144684980).

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

11231513420 is a wasteful number, since it uses less digits than its factorization.

11231513420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1905 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The spelling of 11231513420 in words is "eleven billion, two hundred thirty-one million, five hundred thirteen thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 89 170 178 239 340 356 445 478 890 956 1195 1513 1553 1780 2390 3026 3106 4063 4780 6052 6212 7565 7765 8126 15130 15530 16252 20315 21271 26401 30260 31060 40630 42542 52802 81260 85084 105604 106355 132005 138217 212710 264010 276434 361607 371167 425420 528020 552868 691085 723214 742334 1382170 1446428 1484668 1808035 1855835 2349689 2764340 3616070 3711670 4699378 6309839 7232140 7423340 9398756 11748445 12619678 23496890 25239356 31549195 33033863 46993780 63098390 66067726 126196780 132135452 165169315 330338630 561575671 660677260 1123151342 2246302684 2807878355 5615756710 11231513420