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1012010022100 = 2252711177731169
BaseRepresentation
bin11101011101000000111…
…11110111010011010100
310120202011201101202120101
432232200133313103110
5113040044031201400
62052524434543444
7133054360153510
oct16564037672324
93522151352511
101012010022100
113602113022a0
12144174137b84
137458052bcac
1436da5513140
151b4d0d1656a
hexeba07f74d4

1012010022100 has 144 divisors (see below), whose sum is σ = 2899003201920. Its totient is φ = 296876851200.

The previous prime is 1012010022097. The next prime is 1012010022131. The reversal of 1012010022100 is 12200102101.

It is a Harshad number since it is a multiple of its sum of digits (10).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3734685 + ... + 3996484.

It is an arithmetic number, because the mean of its divisors is an integer number (20131966680).

Almost surely, 21012010022100 is an apocalyptic number.

1012010022100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1012010022100 is an abundant number, since it is smaller than the sum of its proper divisors (1886993179820).

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

1012010022100 is a wasteful number, since it uses less digits than its factorization.

1012010022100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7731218 (or 7731211 counting only the distinct ones).

The product of its (nonzero) digits is 8, while the sum is 10.

Adding to 1012010022100 its reverse (12200102101), we get a palindrome (1024210124201).

The spelling of 1012010022100 in words is "one trillion, twelve billion, ten million, twenty-two thousand, one hundred".

Divisors: 1 2 4 5 7 10 11 14 17 20 22 25 28 34 35 44 50 55 68 70 77 85 100 110 119 140 154 170 175 187 220 238 275 308 340 350 374 385 425 476 550 595 700 748 770 850 935 1100 1190 1309 1540 1700 1870 1925 2380 2618 2975 3740 3850 4675 5236 5950 6545 7700 9350 11900 13090 18700 26180 32725 65450 130900 7731169 15462338 30924676 38655845 54118183 77311690 85042859 108236366 131429873 154623380 170085718 193279225 216472732 262859746 270590915 340171436 386558450 425214295 525719492 541181830 595300013 657149365 773116900 850428590 920009111 1082363660 1190600026 1314298730 1352954575 1445728603 1700857180 1840018222 2126071475 2381200052 2628597460 2705909150 2891457206 2976500065 3285746825 3680036444 4252142950 4600045555 5411818300 5782914412 5953000130 6571493650 7228643015 8504285900 9200091110 10120100221 11906000260 13142987300 14457286030 14882500325 18400182220 20240200442 23000227775 28914572060 29765000650 36143215075 40480400884 46000455550 50600501105 59530001300 72286430150 92000911100 101201002210 144572860300 202402004420 253002505525 506005011050 1012010022100