Search a number
-
+
10121220202100 = 2252749129447833
BaseRepresentation
bin1001001101001000011110…
…1111000001111001110100
31022211120122020102112221012
42103102013233001321310
52311311224332431400
633305342510411352
72063143162145240
oct223220757017164
938746566375835
1010121220202100
113252426a43027
121175688200b58
1358557208b467
1426dc26543420
151284220c4d35
hex93487bc1e74

10121220202100 has 72 divisors (see below), whose sum is σ = 25151748393408. Its totient is φ = 3463065043200.

The previous prime is 10121220202081. The next prime is 10121220202183. The reversal of 10121220202100 is 120202212101.

10121220202100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (14).

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, 14380217 + ... + 15067616.

Almost surely, 210121220202100 is an apocalyptic number.

10121220202100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10121220202100 is an abundant number, since it is smaller than the sum of its proper divisors (15030528191308).

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

10121220202100 is a wasteful number, since it uses less digits than its factorization.

10121220202100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29448345 (or 29448338 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

Adding to 10121220202100 its reverse (120202212101), we get a palindrome (10241422414201).

The spelling of 10121220202100 in words is "ten trillion, one hundred twenty-one billion, two hundred twenty million, two hundred two thousand, one hundred".

Divisors: 1 2 4 5 7 10 14 20 25 28 35 50 70 100 140 175 350 491 700 982 1964 2455 3437 4910 6874 9820 12275 13748 17185 24550 34370 49100 68740 85925 171850 343700 29447833 58895666 117791332 147239165 206134831 294478330 412269662 588956660 736195825 824539324 1030674155 1472391650 2061348310 2944783300 4122696620 5153370775 10306741550 14458886003 20613483100 28917772006 57835544012 72294430015 101212202021 144588860030 202424404042 289177720060 361472150075 404848808084 506061010105 722944300150 1012122020210 1445888600300 2024244040420 2530305050525 5060610101050 10121220202100