Search a number
-
+
103230101331300 = 2235216313297158761
BaseRepresentation
bin10111011110001100100001…
…100001010001110101100100
3111112111200221020211120000110
4113132030201201101311210
5102012310221420100200
61003315130500213020
730513062100350616
oct2736144141216544
9445450836746013
10103230101331300
112a98a704aa8859
12b6b282809a170
13457a731348848
141b6c513890db6
15be03b9e2ab50
hex5de321851d64

103230101331300 has 144 divisors (see below), whose sum is σ = 300535973202752. Its totient is φ = 27356913561600.

The previous prime is 103230101331299. The next prime is 103230101331317. The reversal of 103230101331300 is 3133101032301.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 650143920 + ... + 650302680.

Almost surely, 2103230101331300 is an apocalyptic number.

103230101331300 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 103230101331300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150267986601376).

103230101331300 is an abundant number, since it is smaller than the sum of its proper divisors (197305871871452).

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

103230101331300 is a wasteful number, since it uses less digits than its factorization.

103230101331300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172238 (or 172231 counting only the distinct ones).

The product of its (nonzero) digits is 486, while the sum is 21.

Adding to 103230101331300 its reverse (3133101032301), we get a palindrome (106363202363601).

The spelling of 103230101331300 in words is "one hundred three trillion, two hundred thirty billion, one hundred one million, three hundred thirty-one thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 163 300 326 489 652 815 978 1630 1956 2445 3260 4075 4890 8150 9780 12225 13297 16300 24450 26594 39891 48900 53188 66485 79782 132970 158761 159564 199455 265940 317522 332425 398910 476283 635044 664850 793805 797820 952566 997275 1329700 1587610 1905132 1994550 2167411 2381415 3175220 3969025 3989100 4334822 4762830 6502233 7938050 8669644 9525660 10837055 11907075 13004466 15876100 21674110 23814150 25878043 26008932 32511165 43348220 47628300 51756086 54185275 65022330 77634129 103512172 108370550 129390215 130044660 155268258 162555825 216741100 258780430 310536516 325111650 388170645 517560860 646951075 650223300 776341290 1293902150 1552682580 1940853225 2111045017 2587804300 3881706450 4222090034 6333135051 7763412900 8444180068 10555225085 12666270102 21110450170 25332540204 31665675255 42220900340 52776125425 63331350510 105552250850 126662701020 158328376275 211104501700 316656752550 344100337771 633313505100 688200675542 1032301013313 1376401351084 1720501688855 2064602026626 3441003377710 4129204053252 5161505066565 6882006755420 8602508444275 10323010133130 17205016888550 20646020266260 25807525332825 34410033777100 51615050665650 103230101331300