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1100010100002 = 2311252112372351
BaseRepresentation
bin10000000000011101101…
…101100001010100100010
310220011022121001220022220
4100000131231201110202
5121010310041200002
62201200534011510
7142321163401422
oct20003555412442
93804277056286
101100010100002
1139456a02a300
121592331a6b96
137c965c034c8
143b352976482
151d9317e87bc
hex1001db61522

1100010100002 has 96 divisors (see below), whose sum is σ = 2425835526912. Its totient is φ = 332286240000.

The previous prime is 1100010099989. The next prime is 1100010100003. The reversal of 1100010100002 is 2000010100011.

It is a Harshad number since it is a multiple of its sum of digits (6).

It is not an unprimeable number, because it can be changed into a prime (1100010100003) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 467889127 + ... + 467891477.

It is an arithmetic number, because the mean of its divisors is an integer number (25269120072).

Almost surely, 21100010100002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100010100002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1212917763456).

1100010100002 is an abundant number, since it is smaller than the sum of its proper divisors (1325825426910).

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

1100010100002 is a wasteful number, since it uses less digits than its factorization.

1100010100002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4125 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 6.

Adding to 1100010100002 its reverse (2000010100011), we get a palindrome (3100020200013).

Subtracting 1100010100002 from its reverse (2000010100011), we obtain a palindrome (900000000009).

The spelling of 1100010100002 in words is "one trillion, one hundred billion, ten million, one hundred thousand, two".

Divisors: 1 2 3 6 11 22 33 66 121 242 363 521 726 1042 1237 1563 2351 2474 3126 3711 4702 5731 7053 7422 11462 13607 14106 17193 25861 27214 34386 40821 51722 63041 77583 81642 126082 149677 155166 189123 284471 299354 378246 449031 568942 644477 853413 898062 1224871 1288954 1706826 1933431 2449742 2908187 3674613 3866862 5816374 7089247 7349226 8724561 13473581 14178494 17449122 21267741 26947162 31990057 40420743 42535482 63980114 77981717 80841486 95970171 148209391 155963434 191940342 233945151 296418782 351890627 444628173 467890302 703781254 889256346 1055671881 1515165427 2111343762 3030330854 4545496281 9090992562 16666819697 33333639394 50000459091 100000918182 183335016667 366670033334 550005050001 1100010100002