Search a number
-
+
106230760500 = 2235370820507
BaseRepresentation
bin110001011101111011…
…0001100010000110100
3101011012101220202211010
41202323312030100310
53220030033314000
6120445101512220
710450332365004
oct1427366142064
9334171822733
10106230760500
1141063549747
1218708572670
13a02c642987
1451da77c004
152b6b255d50
hex18bbd8c434

106230760500 has 48 divisors (see below), whose sum is σ = 309343978944. Its totient is φ = 28328202400.

The previous prime is 106230760469. The next prime is 106230760561. The reversal of 106230760500 is 5067032601.

It is a super-2 number, since 2×1062307605002 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

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, 35408754 + ... + 35411753.

It is an arithmetic number, because the mean of its divisors is an integer number (6444666228).

Almost surely, 2106230760500 is an apocalyptic number.

106230760500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

106230760500 is an abundant number, since it is smaller than the sum of its proper divisors (203113218444).

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

106230760500 is a wasteful number, since it uses less digits than its factorization.

106230760500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70820529 (or 70820517 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 30.

The spelling of 106230760500 in words is "one hundred six billion, two hundred thirty million, seven hundred sixty thousand, five hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 125 150 250 300 375 500 750 1500 70820507 141641014 212461521 283282028 354102535 424923042 708205070 849846084 1062307605 1416410140 1770512675 2124615210 3541025350 4249230420 5311538025 7082050700 8852563375 10623076050 17705126750 21246152100 26557690125 35410253500 53115380250 106230760500