Search a number
-
+
1101225640230 = 232543844333703
BaseRepresentation
bin10000000001100110001…
…010011100000100100110
310220021110022022202001100
4100001212022130010212
5121020302230441410
62201521315140530
7142363253332452
oct20014612340446
93807408282040
101101225640230
1139503318a701
121595122a4746
137caca9a9191
143b42a18d662
151d9a33a38c0
hex1006629c126

1101225640230 has 96 divisors (see below), whose sum is σ = 2930206346496. Its totient is φ = 286788382272.

The previous prime is 1101225640201. The next prime is 1101225640243. The reversal of 1101225640230 is 320465221011.

1101225640230 is a `hidden beast` number, since 1 + 1 + 0 + 1 + 2 + 256 + 402 + 3 + 0 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1101225640194 and 1101225640203.

It is a congruent number.

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, 32657559 + ... + 32691261.

It is an arithmetic number, because the mean of its divisors is an integer number (30522982776).

Almost surely, 21101225640230 is an apocalyptic number.

1101225640230 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1101225640230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1465103173248).

1101225640230 is an abundant number, since it is smaller than the sum of its proper divisors (1828980706266).

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

1101225640230 is a wasteful number, since it uses less digits than its factorization.

1101225640230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42202 (or 42199 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 1101225640230 in words is "one trillion, one hundred one billion, two hundred twenty-five million, six hundred forty thousand, two hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 387 430 645 774 1290 1935 3870 8443 16886 25329 33703 42215 50658 67406 75987 84430 101109 126645 151974 168515 202218 253290 303327 337030 363049 379935 505545 606654 726098 759870 1011090 1089147 1449229 1516635 1815245 2178294 2898458 3033270 3267441 3630490 4347687 5445735 6534882 7246145 8695374 10891470 13043061 14492290 16337205 21738435 26086122 32674410 43476870 65215305 130430610 284554429 569108858 853663287 1422772145 1707326574 2560989861 2845544290 4268316435 5121979722 8536632870 12235840447 12804949305 24471680894 25609898610 36707521341 61179202235 73415042682 110122564023 122358404470 183537606705 220245128046 367075213410 550612820115 1101225640230