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101204004412 = 227191315032887
BaseRepresentation
bin101111001000000111…
…0101000111000111100
3100200020002012002210201
41132100032220320330
53124231211120122
6114254213013244
710211633562310
oct1362016507074
9320202162721
10101204004412
1139a14027475
1217745024224
13970b0a67a4
144c80d13b40
152974cb6a27
hex17903a8e3c

101204004412 has 96 divisors (see below), whose sum is σ = 215188807680. Its totient is φ = 40681517760.

The previous prime is 101204004373. The next prime is 101204004437. The reversal of 101204004412 is 214400402101.

It is a Harshad number since it is a multiple of its sum of digits (19).

It is a self number, because there is not a number n which added to its sum of digits gives 101204004412.

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, 35053633 + ... + 35056519.

It is an arithmetic number, because the mean of its divisors is an integer number (2241550080).

Almost surely, 2101204004412 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 101204004412, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (107594403840).

101204004412 is an abundant number, since it is smaller than the sum of its proper divisors (113984803268).

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

101204004412 is a wasteful number, since it uses less digits than its factorization.

101204004412 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3551 (or 3549 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 19.

Adding to 101204004412 its reverse (214400402101), we get a palindrome (315604406513).

The spelling of 101204004412 in words is "one hundred one billion, two hundred four million, four thousand, four hundred twelve".

Divisors: 1 2 4 7 14 19 28 38 76 131 133 262 266 503 524 532 917 1006 1834 2012 2489 2887 3521 3668 4978 5774 7042 9557 9956 11548 14084 17423 19114 20209 34846 38228 40418 54853 65893 66899 69692 80836 109706 131786 133798 219412 263572 267596 378197 383971 461251 756394 767942 922502 1251967 1452161 1512788 1535884 1845004 2503934 2647379 2904322 5007868 5294758 5808644 7185743 8763769 10165127 10589516 14371486 17527538 20330254 27591059 28742972 35055076 40660508 50300201 55182118 100600402 110364236 190233091 193137413 201200804 380466182 386274826 760932364 772549652 1331631637 2663263274 3614428729 5326526548 7228857458 14457714916 25301001103 50602002206 101204004412