Search a number
-
+
1010101202200 = 2352131281137201
BaseRepresentation
bin11101011001011101011…
…10010010110100011000
310120120020200121122221001
432230232232102310120
5113022141401432300
62052011210154344
7132656151361066
oct16545656226430
93516220548831
101010101202200
1135a421882692
12143920a229b4
1374337c2aa6c
1436c63bd1036
151b41d46516a
hexeb2eb92d18

1010101202200 has 96 divisors (see below), whose sum is σ = 2374851370320. Its totient is φ = 399526400000.

The previous prime is 1010101202191. The next prime is 1010101202207. The reversal of 1010101202200 is 22021010101.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1010101202207) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7293600 + ... + 7430800.

Almost surely, 21010101202200 is an apocalyptic number.

1010101202200 is a gapful number since it is divisible by the number (10) 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 1010101202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1187425685160).

1010101202200 is an abundant number, since it is smaller than the sum of its proper divisors (1364750168120).

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

1010101202200 is a wasteful number, since it uses less digits than its factorization.

1010101202200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137629 (or 137620 counting only the distinct ones).

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

Adding to 1010101202200 its reverse (22021010101), we get a palindrome (1032122212301).

The spelling of 1010101202200 in words is "one trillion, ten billion, one hundred one million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 131 200 262 281 524 562 655 1048 1124 1310 1405 2248 2620 2810 3275 5240 5620 6550 7025 11240 13100 14050 26200 28100 36811 56200 73622 137201 147244 184055 274402 294488 368110 548804 686005 736220 920275 1097608 1372010 1472440 1840550 2744020 3430025 3681100 5488040 6860050 7362200 13720100 17973331 27440200 35946662 38553481 71893324 77106962 89866655 143786648 154213924 179733310 192767405 308427848 359466620 385534810 449333275 718933240 771069620 898666550 963837025 1542139240 1797333100 1927674050 3594666200 3855348100 5050506011 7710696200 10101012022 20202024044 25252530055 40404048088 50505060110 101010120220 126262650275 202020240440 252525300550 505050601100 1010101202200