Search a number
-
+
106277237500 = 225577117107
BaseRepresentation
bin110001011111010011…
…1011111001011111100
3101011022122101001021111
41202332213133023330
53220123433100000
6120453442011404
710451435420320
oct1427647371374
9334278331244
10106277237500
1141087803595
1218720046b64
13a039166665
1452029d9980
152b70386cba
hex18be9df2fc

106277237500 has 144 divisors (see below), whose sum is σ = 269433755136. Its totient is φ = 35922600000.

The previous prime is 106277237489. The next prime is 106277237513. The reversal of 106277237500 is 5732772601.

It is a happy number.

It is a super-2 number, since 2×1062772375002 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6203947 + ... + 6221053.

It is an arithmetic number, because the mean of its divisors is an integer number (1871067744).

Almost surely, 2106277237500 is an apocalyptic number.

106277237500 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 106277237500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134716877568).

106277237500 is an abundant number, since it is smaller than the sum of its proper divisors (163156517636).

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

106277237500 is an equidigital number, since it uses as much as digits as its factorization.

106277237500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17214 (or 17192 counting only the distinct ones).

The product of its (nonzero) digits is 123480, while the sum is 40.

The spelling of 106277237500 in words is "one hundred six billion, two hundred seventy-seven million, two hundred thirty-seven thousand, five hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 71 100 125 140 142 175 250 284 350 355 497 500 625 700 710 875 994 1250 1420 1750 1775 1988 2485 2500 3125 3500 3550 4375 4970 6250 7100 8750 8875 9940 12425 12500 17107 17500 17750 21875 24850 34214 35500 43750 44375 49700 62125 68428 85535 87500 88750 119749 124250 171070 177500 221875 239498 248500 310625 342140 427675 443750 478996 598745 621250 855350 887500 1197490 1214597 1242500 1553125 1710700 2138375 2394980 2429194 2993725 3106250 4276750 4858388 5987450 6072985 6212500 8502179 8553500 10691875 11974900 12145970 14968625 17004358 21383750 24291940 29937250 30364925 34008716 42510895 42767500 53459375 59874500 60729850 74843125 85021790 106918750 121459700 149686250 151824625 170043580 212554475 213837500 299372500 303649250 374215625 425108950 607298500 748431250 759123125 850217900 1062772375 1496862500 1518246250 2125544750 3036492500 3795615625 4251089500 5313861875 7591231250 10627723750 15182462500 21255447500 26569309375 53138618750 106277237500