Search a number
-
+
101020231131000 = 2335333673410377
BaseRepresentation
bin10110111110000010011010…
…111111011101111101111000
3111020200102212121011220010220
4112332002122333131331320
5101220103413132143000
6554504015320340040
730164320333521426
oct2676023277357570
9436612777156126
10101020231131000
112a208491977245
12b3b6493014620
13444a2229533cc
141ad3596108116
15ba2b7c20a1a0
hex5be09afddf78

101020231131000 has 64 divisors (see below), whose sum is σ = 315183121138080. Its totient is φ = 26938728300800.

The previous prime is 101020231130981. The next prime is 101020231131031. The reversal of 101020231131000 is 131132020101.

It is a happy number.

101020231131000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1010202311310002 (a number of 29 digits) contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16836702189 + ... + 16836708188.

Almost surely, 2101020231131000 is an apocalyptic number.

101020231131000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

101020231131000 is an abundant number, since it is smaller than the sum of its proper divisors (214162890007080).

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

101020231131000 is a wasteful number, since it uses less digits than its factorization.

101020231131000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33673410401 (or 33673410387 counting only the distinct ones).

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

Adding to 101020231131000 its reverse (131132020101), we get a palindrome (101151363151101).

The spelling of 101020231131000 in words is "one hundred one trillion, twenty billion, two hundred thirty-one million, one hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 150 200 250 300 375 500 600 750 1000 1500 3000 33673410377 67346820754 101020231131 134693641508 168367051885 202040462262 269387283016 336734103770 404080924524 505101155655 673468207540 808161849048 841835259425 1010202311310 1346936415080 1683670518850 2020404622620 2525505778275 3367341037700 4040809245240 4209176297125 5051011556550 6734682075400 8418352594250 10102023113100 12627528891375 16836705188500 20204046226200 25255057782750 33673410377000 50510115565500 101020231131000