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101113321020 = 22353755818161
BaseRepresentation
bin101111000101011010…
…0101101011000111100
3100122222202112220120120
41132022310231120330
53124040002233040
6114241213214540
710206453022245
oct1361264553074
9318882486516
10101113321020
1139977919718
121771a791450
1396c537578a
144c72c69ccc
15296bd527d0
hex178ad2d63c

101113321020 has 96 divisors (see below), whose sum is σ = 290856853056. Its totient is φ = 26226892800.

The previous prime is 101113321013. The next prime is 101113321061. The reversal of 101113321020 is 20123311101.

It is a happy number.

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 31 ways as a sum of consecutive naturals, for example, 12385740 + ... + 12393900.

It is an arithmetic number, because the mean of its divisors is an integer number (3029758886).

Almost surely, 2101113321020 is an apocalyptic number.

101113321020 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 101113321020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145428426528).

101113321020 is an abundant number, since it is smaller than the sum of its proper divisors (189743532036).

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

101113321020 is a wasteful number, since it uses less digits than its factorization.

101113321020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13791 (or 13789 counting only the distinct ones).

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

Adding to 101113321020 its reverse (20123311101), we get a palindrome (121236632121).

The spelling of 101113321020 in words is "one hundred one billion, one hundred thirteen million, three hundred twenty-one thousand, twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 37 60 74 111 148 185 222 370 444 555 740 1110 2220 5581 8161 11162 16322 16743 22324 24483 27905 32644 33486 40805 48966 55810 66972 81610 83715 97932 111620 122415 163220 167430 206497 244830 301957 334860 412994 489660 603914 619491 825988 905871 1032485 1207828 1238982 1509785 1811742 2064970 2477964 3019570 3097455 3623484 4129940 4529355 6039140 6194910 9058710 12389820 18117420 45546541 91093082 136639623 182186164 227732705 273279246 455465410 546558492 683198115 910930820 1366396230 1685222017 2732792460 3370444034 5055666051 6740888068 8426110085 10111332102 16852220170 20222664204 25278330255 33704440340 50556660510 101113321020