Search a number
-
+
2000000100120 = 2335113740950043
BaseRepresentation
bin11101000110101001010…
…010111010011100011000
321002012100110000221022020
4131012221102322130120
5230232000011200440
64130442023054440
7264331603232661
oct35065122723430
97065313027266
102000000100120
11701216a0a030
12283743ba1420
131167a359ab09
146cb2c8b8368
1537057eec3d0
hex1d1a94ba718

2000000100120 has 128 divisors (see below), whose sum is σ = 6722359223040. Its totient is φ = 471744483840.

The previous prime is 2000000100073. The next prime is 2000000100151. The reversal of 2000000100120 is 210010000002.

Adding to 2000000100120 its reverse (210010000002), we get a palindrome (2210010100122).

It is a happy number.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a junction number, because it is equal to n+sod(n) for n = 2000000100099 and 2000000100108.

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, 20426182 + ... + 20523861.

It is an arithmetic number, because the mean of its divisors is an integer number (52518431430).

Almost surely, 22000000100120 is an apocalyptic number.

2000000100120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2000000100120 is an abundant number, since it is smaller than the sum of its proper divisors (4722359122920).

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

2000000100120 is a wasteful number, since it uses less digits than its factorization.

2000000100120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40950105 (or 40950101 counting only the distinct ones).

The product of its (nonzero) digits is 4, while the sum is 6.

The spelling of 2000000100120 in words is "two trillion, one hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 37 40 44 55 60 66 74 88 110 111 120 132 148 165 185 220 222 264 296 330 370 407 440 444 555 660 740 814 888 1110 1221 1320 1480 1628 2035 2220 2442 3256 4070 4440 4884 6105 8140 9768 12210 16280 24420 48840 40950043 81900086 122850129 163800172 204750215 245700258 327600344 409500430 450450473 491400516 614250645 819000860 900900946 982801032 1228501290 1351351419 1515151591 1638001720 1801801892 2252252365 2457002580 2702702838 3030303182 3603603784 4504504730 4545454773 4914005160 5405405676 6060606364 6756757095 7575757955 9009009460 9090909546 10810811352 12121212728 13513514190 15151515910 16666667501 18018018920 18181819092 22727273865 27027028380 30303031820 33333335002 36363638184 45454547730 50000002503 54054056760 60606063640 66666670004 83333337505 90909095460 100000005006 133333340008 166666675010 181818190920 200000010012 250000012515 333333350020 400000020024 500000025030 666666700040 1000000050060 2000000100120