Search a number
-
+
1131230210100 = 2235231353334429
BaseRepresentation
bin10000011101100010100…
…100110010100000110100
311000010220101012211002220
4100131202210302200310
5122013224413210400
62223402513202340
7144504640063524
oct20354244624064
94003811184086
101131230210100
113a682aa65091
121632a68603b0
138289ccb1333
143ca75067684
151e65c5d17a0
hex10762932834

1131230210100 has 144 divisors (see below), whose sum is σ = 3379662021120. Its totient is φ = 291839270400.

The previous prime is 1131230210093. The next prime is 1131230210107. The reversal of 1131230210100 is 10120321311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1131230210093) and next prime (1131230210107).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 1131230210100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1131230210107) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32839686 + ... + 32874114.

Almost surely, 21131230210100 is an apocalyptic number.

1131230210100 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 1131230210100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1689831010560).

1131230210100 is an abundant number, since it is smaller than the sum of its proper divisors (2248431811020).

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

1131230210100 is a wasteful number, since it uses less digits than its factorization.

1131230210100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38010 (or 38003 counting only the distinct ones).

The product of its (nonzero) digits is 36, while the sum is 15.

Adding to 1131230210100 its reverse (10120321311), we get a palindrome (1141350531411).

The spelling of 1131230210100 in words is "one trillion, one hundred thirty-one billion, two hundred thirty million, two hundred ten thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 31 50 60 62 75 93 100 124 150 155 186 300 310 372 465 620 775 930 1550 1860 2325 3100 3533 4650 7066 9300 10599 14132 17665 21198 34429 35330 42396 52995 68858 70660 88325 103287 105990 109523 137716 172145 176650 206574 211980 219046 264975 328569 344290 353300 413148 438092 516435 529950 547615 657138 688580 860725 1032870 1059900 1067299 1095230 1314276 1642845 1721450 2065740 2134598 2190460 2582175 2738075 3201897 3285690 3442900 4269196 5164350 5336495 5476150 6403794 6571380 8214225 10328700 10672990 10952300 12807588 16009485 16428450 21345980 26682475 32018970 32856900 53364950 64037940 80047425 106729900 121637657 160094850 243275314 320189700 364912971 486550628 608188285 729825942 1216376570 1459651884 1824564855 2432753140 3040941425 3649129710 3770767367 6081882850 7298259420 7541534734 9122824275 11312302101 12163765700 15083069468 18245648550 18853836835 22624604202 36491297100 37707673670 45249208404 56561510505 75415347340 94269184175 113123021010 188538368350 226246042020 282807552525 377076736700 565615105050 1131230210100