Search a number
-
+
102353016214350 = 232521120677377013
BaseRepresentation
bin10111010001011011101011…
…001011000101001101001110
3111102101212000200110010212100
4113101123223023011031032
5101403422434122324400
61001404154310215530
730362522105022366
oct2721335313051516
9442355020403770
10102353016214350
112a681741351840
12b59084a0545a6
134515b04119445
141b3bcab95b9a6
15bc76844e9100
hex5d16eb2c534e

102353016214350 has 72 divisors (see below), whose sum is σ = 299987385719112. Its totient is φ = 24812852414400.

The previous prime is 102353016214333. The next prime is 102353016214459. The reversal of 102353016214350 is 53412610353201.

102353016214350 is a `hidden beast` number, since 1 + 0 + 2 + 3 + 530 + 1 + 62 + 14 + 3 + 50 = 666.

It is a super-2 number, since 2×1023530162143502 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 10338683557 + ... + 10338693456.

It is an arithmetic number, because the mean of its divisors is an integer number (4166491468321).

Almost surely, 2102353016214350 is an apocalyptic number.

102353016214350 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102353016214350 is an abundant number, since it is smaller than the sum of its proper divisors (197634369504762).

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

102353016214350 is a wasteful number, since it uses less digits than its factorization.

102353016214350 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20677377042 (or 20677377034 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

Adding to 102353016214350 its reverse (53412610353201), we get a palindrome (155765626567551).

The spelling of 102353016214350 in words is "one hundred two trillion, three hundred fifty-three billion, sixteen million, two hundred fourteen thousand, three hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 99 110 150 165 198 225 275 330 450 495 550 825 990 1650 2475 4950 20677377013 41354754026 62032131039 103386885065 124064262078 186096393117 206773770130 227451147143 310160655195 372192786234 454902294286 516934425325 620321310390 682353441429 930481965585 1033868850650 1137255735715 1364706882858 1550803275975 1860963931170 2047060324287 2274511471430 3101606551950 3411767207145 4094120648574 4652409827925 5686278678575 6823534414290 9304819655850 10235301621435 11372557357150 17058836035725 20470603242870 34117672071450 51176508107175 102353016214350