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101130222000 = 24353166710111
BaseRepresentation
bin101111000101111010…
…1001011100110110000
3100200000221100120100210
41132023311023212300
53124103314101000
6114243015344120
710210046463243
oct1361365134660
9320027316323
10101130222000
1139986412675
1217724382040
1396c8a12462
144c751c925a
15296d590350
hex178bd4b9b0

101130222000 has 160 divisors (see below), whose sum is σ = 326271688704. Its totient is φ = 26949216000.

The previous prime is 101130221999. The next prime is 101130222007. The reversal of 101130222000 is 222031101.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (101130222007) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9996945 + ... + 10007055.

Almost surely, 2101130222000 is an apocalyptic number.

101130222000 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 101130222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163135844352).

101130222000 is an abundant number, since it is smaller than the sum of its proper divisors (225141466704).

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

101130222000 is a wasteful number, since it uses less digits than its factorization.

101130222000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11804 (or 11788 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 101130222000 its reverse (222031101), we get a palindrome (101352253101).

The spelling of 101130222000 in words is "one hundred one billion, one hundred thirty million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 1667 2000 3000 3334 5001 6000 6668 8335 10002 10111 13336 16670 20004 20222 25005 26672 30333 33340 40008 40444 41675 50010 50555 60666 66680 80016 80888 83350 100020 101110 121332 125025 133360 151665 161776 166700 200040 202220 208375 242664 250050 252775 303330 333400 400080 404440 416750 485328 500100 505550 606660 625125 666800 758325 808880 833500 1000200 1011100 1213320 1250250 1263875 1516650 1667000 2000400 2022200 2426640 2500500 2527750 3033300 3334000 3791625 4044400 5001000 5055500 6066600 7583250 10002000 10111000 12133200 15166500 16855037 20222000 30333000 33710074 50565111 60666000 67420148 84275185 101130222 134840296 168550370 202260444 252825555 269680592 337100740 404520888 421375925 505651110 674201480 809041776 842751850 1011302220 1264127775 1348402960 1685503700 2022604440 2106879625 2528255550 3371007400 4045208880 4213759250 5056511100 6320638875 6742014800 8427518500 10113022200 12641277750 16855037000 20226044400 25282555500 33710074000 50565111000 101130222000