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1100012011212 = 223317523719769
BaseRepresentation
bin10000000000011101110…
…100110011111011001100
310220011022201200000000110
4100000131310303323030
5121010311033324322
62201201043000020
7142321215551442
oct20003564637314
93804281600013
101100012011212
11394570115214
12159233969010
137c9664223ba
143b352d12b92
151d931a74c0c
hex1001dd33ecc

1100012011212 has 96 divisors (see below), whose sum is σ = 2586661862400. Its totient is φ = 363833966592.

The previous prime is 1100012011211. The next prime is 1100012011213. The reversal of 1100012011212 is 2121102100011.

It is an interprime number because it is at equal distance from previous prime (1100012011211) and next prime (1100012011213).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is not an unprimeable number, because it can be changed into a prime (1100012011211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1430444364 + ... + 1430445132.

It is an arithmetic number, because the mean of its divisors is an integer number (26944394400).

Almost surely, 21100012011212 is an apocalyptic number.

1100012011212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

1100012011212 is an abundant number, since it is smaller than the sum of its proper divisors (1486649851188).

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

1100012011212 is a wasteful number, since it uses less digits than its factorization.

1100012011212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2335 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 12.

Adding to 1100012011212 its reverse (2121102100011), we get a palindrome (3221114111223).

The spelling of 1100012011212 in words is "one trillion, one hundred billion, twelve million, eleven thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 317 523 634 719 769 951 1046 1268 1438 1538 1569 1902 2092 2157 2307 2876 3076 3138 3804 4314 4614 6276 8628 9228 165791 227923 243773 331582 376037 402187 455846 487546 497373 552911 663164 683769 731319 752074 804374 911692 975092 994746 1105822 1128111 1206561 1367538 1462638 1504148 1608748 1658733 1989492 2211644 2256222 2413122 2735076 2925276 3317466 4512444 4826244 6634932 119203729 127493279 175272787 238407458 254986558 289172453 350545574 357611187 382479837 476814916 509973116 525818361 578344906 701091148 715222374 764959674 867517359 1051636722 1156689812 1430444748 1529919348 1735034718 2103273444 3470069436 91667667601 183335335202 275003002803 366670670404 550006005606 1100012011212