Search a number
-
+
101235155000 = 235473139241
BaseRepresentation
bin101111001001000010…
…1011110000000111000
3100200022020210201101012
41132102011132000320
53124312144430000
6114301244413052
710212462422330
oct1362205360070
9320266721335
10101235155000
1139a2a673361
1217753547188
1397146923a5
144c851020c0
1529778bb735
hex179215e038

101235155000 has 160 divisors (see below), whose sum is σ = 271974315360. Its totient is φ = 34594560000.

The previous prime is 101235154997. The next prime is 101235155009. The reversal of 101235155000 is 551532101.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (101235155009) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 10950380 + ... + 10959620.

It is an arithmetic number, because the mean of its divisors is an integer number (1699839471).

Almost surely, 2101235155000 is an apocalyptic number.

101235155000 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 101235155000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135987157680).

101235155000 is an abundant number, since it is smaller than the sum of its proper divisors (170739160360).

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

101235155000 is an equidigital number, since it uses as much as digits as its factorization.

101235155000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9587 (or 9568 counting only the distinct ones).

The product of its (nonzero) digits is 750, while the sum is 23.

Adding to 101235155000 its reverse (551532101), we get a palindrome (101786687101).

The spelling of 101235155000 in words is "one hundred one billion, two hundred thirty-five million, one hundred fifty-five thousand".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 125 140 175 200 250 280 313 350 500 625 626 700 875 1000 1250 1252 1400 1565 1750 2191 2500 2504 3130 3500 4375 4382 5000 6260 7000 7825 8750 8764 9241 10955 12520 15650 17500 17528 18482 21910 31300 35000 36964 39125 43820 46205 54775 62600 64687 73928 78250 87640 92410 109550 129374 156500 184820 195625 219100 231025 258748 273875 313000 323435 369640 391250 438200 462050 517496 547750 646870 782500 924100 1095500 1155125 1293740 1369375 1565000 1617175 1848200 2191000 2310250 2587480 2738750 2892433 3234350 4620500 5477500 5775625 5784866 6468700 8085875 9241000 10955000 11551250 11569732 12937400 14462165 16171750 20247031 23102500 23139464 28924330 32343500 40429375 40494062 46205000 57848660 64687000 72310825 80858750 80988124 101235155 115697320 144621650 161717500 161976248 202470310 289243300 323435000 361554125 404940620 506175775 578486600 723108250 809881240 1012351550 1446216500 1807770625 2024703100 2530878875 2892433000 3615541250 4049406200 5061757750 7231082500 10123515500 12654394375 14462165000 20247031000 25308788750 50617577500 101235155000