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12001010002100 = 2252719189760733
BaseRepresentation
bin1010111010100011001111…
…1100000010100010110100
31120111021201000120112012122
42232220303330002202310
53033111032030031400
641305104325535112
72346021133622030
oct256506374024264
946437630515178
1012001010002100
11390766630a389
121419a61b74498
136908c8a1c572
142d6bcdbb11c0
1515c29192a685
hexaea33f028b4

12001010002100 has 72 divisors (see below), whose sum is σ = 29918329771008. Its totient is φ = 4093089379200.

The previous prime is 12001010002043. The next prime is 12001010002139. The reversal of 12001010002100 is 120001010021.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44746667 + ... + 45014066.

Almost surely, 212001010002100 is an apocalyptic number.

12001010002100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12001010002100 is an abundant number, since it is smaller than the sum of its proper divisors (17917319768908).

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

12001010002100 is a wasteful number, since it uses less digits than its factorization.

12001010002100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89760945 (or 89760938 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 8.

Adding to 12001010002100 its reverse (120001010021), we get a palindrome (12121011012121).

The spelling of 12001010002100 in words is "twelve trillion, one billion, ten million, two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 191 350 382 700 764 955 1337 1910 2674 3820 4775 5348 6685 9550 13370 19100 26740 33425 66850 133700 89760733 179521466 359042932 448803665 628325131 897607330 1256650262 1795214660 2244018325 2513300524 3141625655 4488036650 6283251310 8976073300 12566502620 15708128275 17144300003 31416256550 34288600006 62832513100 68577200012 85721500015 120010100021 171443000030 240020200042 342886000060 428607500075 480040400084 600050500105 857215000150 1200101000210 1714430000300 2400202000420 3000252500525 6000505001050 12001010002100