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11161300000 = 2555239467
BaseRepresentation
bin10100110010100001…
…11110110000100000
31001210211221210020111
422121100332300200
5140324243100000
65043305221104
7543405325144
oct123120766040
931724853214
1011161300000
114808298984
1221b5a91794
13108b481a36
1477c49b224
15454d01cba
hex29943ec20

11161300000 has 144 divisors (see below), whose sum is σ = 27639480960. Its totient is φ = 4436320000.

The previous prime is 11161299983. The next prime is 11161300013. The reversal of 11161300000 is 316111.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23899767 + ... + 23900233.

It is an arithmetic number, because the mean of its divisors is an integer number (191940840).

Almost surely, 211161300000 is an apocalyptic number.

11161300000 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 11161300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13819740480).

11161300000 is an abundant number, since it is smaller than the sum of its proper divisors (16478180960).

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

11161300000 is an frugal number, since it uses more digits than its factorization.

11161300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 741 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 18, while the sum is 13.

Adding to 11161300000 its reverse (316111), we get a palindrome (11161616111).

The spelling of 11161300000 in words is "eleven billion, one hundred sixty-one million, three hundred thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 160 200 239 250 400 467 478 500 625 800 934 956 1000 1195 1250 1868 1912 2000 2335 2390 2500 3125 3736 3824 4000 4670 4780 5000 5975 6250 7472 7648 9340 9560 10000 11675 11950 12500 14944 18680 19120 20000 23350 23900 25000 29875 37360 38240 46700 47800 50000 58375 59750 74720 93400 95600 100000 111613 116750 119500 149375 186800 191200 223226 233500 239000 291875 298750 373600 446452 467000 478000 558065 583750 597500 746875 892904 934000 956000 1116130 1167500 1195000 1459375 1493750 1785808 1868000 2232260 2335000 2390000 2790325 2918750 2987500 3571616 4464520 4670000 4780000 5580650 5837500 5975000 8929040 9340000 11161300 11675000 11950000 13951625 17858080 22322600 23350000 23900000 27903250 44645200 46700000 55806500 69758125 89290400 111613000 139516250 223226000 279032500 348790625 446452000 558065000 697581250 1116130000 1395162500 2232260000 2790325000 5580650000 11161300000