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2101551012 = 22321119377549
BaseRepresentation
bin111110101000011…
…0001111110100100
312102110102212000200
41331100301332210
513300444113022
6544311310500
7103035613611
oct17520617644
95373385020
102101551012
119892a8420
124a797b430
13276511b12
1415d171508
15c4771bac
hex7d431fa4

2101551012 has 144 divisors (see below), whose sum is σ = 6265896000. Its totient is φ = 586932480.

The previous prime is 2101551007. The next prime is 2101551017.

2101551012 is a `hidden beast` number, since 2 + 101 + 551 + 0 + 12 = 666.

2101551012 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (2101551007) and next prime (2101551017).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (2101551017) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 274614 + ... + 282162.

Almost surely, 22101551012 is an apocalyptic number.

2101551012 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2101551012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3132948000).

2101551012 is an abundant number, since it is smaller than the sum of its proper divisors (4164344988).

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

2101551012 is a wasteful number, since it uses less digits than its factorization.

2101551012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7626 (or 7621 counting only the distinct ones).

The product of its (nonzero) digits is 100, while the sum is 18.

The square root of 2101551012 is about 45842.6767543083. The cubic root of 2101551012 is about 1280.8943562362.

It can be divided in two parts, 21015 and 51012, that added together give a palindrome (72027).

The spelling of 2101551012 in words is "two billion, one hundred one million, five hundred fifty-one thousand, twelve".

Divisors: 1 2 3 4 6 9 11 12 18 19 22 33 36 37 38 44 57 66 74 76 99 111 114 132 148 171 198 209 222 228 333 342 396 407 418 444 627 666 684 703 814 836 1221 1254 1332 1406 1628 1881 2109 2442 2508 2812 3663 3762 4218 4884 6327 7326 7524 7549 7733 8436 12654 14652 15098 15466 22647 23199 25308 30196 30932 45294 46398 67941 69597 83039 90588 92796 135882 139194 143431 166078 249117 271764 278388 279313 286862 332156 430293 498234 558626 573724 747351 837939 860586 996468 1117252 1290879 1494702 1577741 1675878 1721172 2513817 2581758 2989404 3072443 3155482 3351756 4733223 5027634 5163516 5306947 6144886 6310964 9217329 9466446 10055268 10613894 12289772 14199669 15920841 18434658 18932892 21227788 27651987 28399338 31841682 36869316 47762523 55303974 56798676 58376417 63683364 95525046 110607948 116752834 175129251 191050092 233505668 350258502 525387753 700517004 1050775506 2101551012