Search a number
-
+
101021132130 = 23547251397719
BaseRepresentation
bin101111000010101010…
…1000010010101100010
3100122202100002020012020
41132011111002111202
53123342402212010
6114224121242310
710204253312052
oct1360525022542
9318670066166
10101021132130
113992a882856
12176b3933396
1396ac238439
144c6490d562
152963be2470
hex1785542562

101021132130 has 128 divisors (see below), whose sum is σ = 249568542720. Its totient is φ = 26158176000.

The previous prime is 101021132119. The next prime is 101021132143. The reversal of 101021132130 is 31231120101.

It is a happy number.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 140501911 + ... + 140502629.

It is an arithmetic number, because the mean of its divisors is an integer number (1949754240).

Almost surely, 2101021132130 is an apocalyptic number.

101021132130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 101021132130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124784271360).

101021132130 is an abundant number, since it is smaller than the sum of its proper divisors (148547410590).

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

101021132130 is a wasteful number, since it uses less digits than its factorization.

101021132130 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1424.

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

Adding to 101021132130 its reverse (31231120101), we get a palindrome (132252252231).

The spelling of 101021132130 in words is "one hundred one billion, twenty-one million, one hundred thirty-two thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 15 30 47 94 141 235 251 282 397 470 502 705 719 753 794 1191 1255 1410 1438 1506 1985 2157 2382 2510 3595 3765 3970 4314 5955 7190 7530 10785 11797 11910 18659 21570 23594 33793 35391 37318 55977 58985 67586 70782 93295 99647 101379 111954 117970 168965 176955 180469 186590 199294 202758 279885 285443 298941 337930 353910 360938 498235 506895 541407 559770 570886 597882 856329 902345 996470 1013790 1082814 1427215 1494705 1712658 1804690 2707035 2854430 2989410 4281645 4683409 5414070 8482043 8563290 9366818 13415821 14050227 16964086 23417045 25446129 26831642 28100454 40247463 42410215 46834090 50892258 67079105 70251135 71646193 80494926 84820430 127230645 134158210 140502270 143292386 201237315 214938579 254461290 358230965 402474630 429877158 716461930 1074692895 2149385790 3367371071 6734742142 10102113213 16836855355 20204226426 33673710710 50510566065 101021132130