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100001101111002 = 232713262672324237
BaseRepresentation
bin10110101111001101010010…
…000110111101111011011010
3111010002000022200020202121200
4112233031102012331323122
5101101404223341023002
6552403512135215030
730030561336343350
oct2657152206757332
9433060280222550
10100001101111002
1129955257610173
12b270a72517476
1343a50a92c5510
141a9a11715d7d0
15b863d12c4b1c
hex5af3521bdeda

100001101111002 has 96 divisors (see below), whose sum is σ = 266679869968512. Its totient is φ = 26372901359232.

The previous prime is 100001101110991. The next prime is 100001101111007. The reversal of 100001101111002 is 200111101100001.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is not an unprimeable number, because it can be changed into a prime (100001101111007) 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, 41863228 + ... + 44187464.

It is an arithmetic number, because the mean of its divisors is an integer number (2777915312172).

Almost surely, 2100001101111002 is an apocalyptic number.

100001101111002 is an abundant number, since it is smaller than the sum of its proper divisors (166678768857510).

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

100001101111002 is a wasteful number, since it uses less digits than its factorization.

100001101111002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2350532 (or 2350529 counting only the distinct ones).

The product of its (nonzero) digits is 2, while the sum is 9.

Adding to 100001101111002 its reverse (200111101100001), we get a palindrome (300112202211003).

The spelling of 100001101111002 in words is "one hundred trillion, one billion, one hundred one million, one hundred eleven thousand, two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 39 42 63 78 91 117 126 182 234 273 546 819 1638 26267 52534 78801 157602 183869 236403 341471 367738 472806 551607 682942 1024413 1103214 1654821 2048826 2324237 2390297 3073239 3309642 4648474 4780594 6146478 6972711 7170891 13945422 14341782 16269659 20918133 21512673 30215081 32539318 41836266 43025346 48808977 60430162 90645243 97617954 146426931 181290486 211505567 271935729 292853862 423011134 543871458 634516701 1269033402 1903550103 3807100206 61050733279 122101466558 183152199837 366304399674 427355132953 549456599511 793659532627 854710265906 1098913199022 1282065398859 1587319065254 2380978597881 2564130797718 3846196196577 4761957195762 5555616728389 7142935793643 7692392393154 11111233456778 14285871587286 16666850185167 33333700370334 50000550555501 100001101111002