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405112202132 = 221137476178581
BaseRepresentation
bin1011110010100101001…
…00011010001110010100
31102201122222002010221112
411321102210122032110
523114132210432012
6510034520234152
741161025621261
oct5712244321624
91381588063845
10405112202132
11146897305540
126661b30b958
132c2817c3711
1415871110268
15a810615122
hex5e5291a394

405112202132 has 96 divisors (see below), whose sum is σ = 812608022016. Its totient is φ = 175048473600.

The previous prime is 405112202119. The next prime is 405112202167. The reversal of 405112202132 is 231202211504.

It is a junction number, because it is equal to n+sod(n) for n = 405112202098 and 405112202107.

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, 47206082 + ... + 47214662.

It is an arithmetic number, because the mean of its divisors is an integer number (8464666896).

Almost surely, 2405112202132 is an apocalyptic number.

It is an amenable number.

405112202132 is an abundant number, since it is smaller than the sum of its proper divisors (407495819884).

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

405112202132 is a wasteful number, since it uses less digits than its factorization.

405112202132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9297 (or 9295 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 23.

Adding to 405112202132 its reverse (231202211504), we get a palindrome (636314413636).

The spelling of 405112202132 in words is "four hundred five billion, one hundred twelve million, two hundred two thousand, one hundred thirty-two".

Divisors: 1 2 4 11 22 37 44 47 74 94 148 188 407 517 617 814 1034 1234 1628 1739 2068 2468 3478 6787 6956 8581 13574 17162 19129 22829 27148 28999 34324 38258 45658 57998 76516 91316 94391 115996 188782 251119 317497 318989 377564 403307 502238 634994 637978 806614 1004476 1072963 1269988 1275956 1613228 2145926 3492467 4291852 4436377 5294477 6984934 8872754 10588954 11802593 13969868 14922359 17745508 21177908 23605186 29844718 47210372 58239247 59689436 116478494 164145949 195895649 232956988 248840419 328291898 391791298 497680838 656583796 783582596 995361676 2154852139 2737244609 4309704278 5474489218 8619408556 9207095503 10948978436 18414191006 36828382012 101278050533 202556101066 405112202132