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2201021132202 = 2321783222139019
BaseRepresentation
bin100000000001110111000…
…101010010110110101010
321210102012221120102111200
4200001313011102312222
5242030142402212302
64403045105305030
7315006232635624
oct40016705226652
97712187512450
102201021132202
117794a20597a2
122b66a5635176
1312c72b2ac289
147875c41dc14
153c3c0e0981c
hex20077152daa

2201021132202 has 96 divisors (see below), whose sum is σ = 5112669481920. Its totient is φ = 681872325120.

The previous prime is 2201021132183. The next prime is 2201021132311. The reversal of 2201021132202 is 2022311201022.

2201021132202 is a `hidden beast` number, since 220 + 1 + 0 + 211 + 32 + 202 = 666.

It is a super-2 number, since 2×22010211322022 (a number of 25 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 56389449 + ... + 56428467.

It is an arithmetic number, because the mean of its divisors is an integer number (53256973770).

Almost surely, 22201021132202 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2201021132202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2556334740960).

2201021132202 is an abundant number, since it is smaller than the sum of its proper divisors (2911648349718).

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

2201021132202 is a wasteful number, since it uses less digits than its factorization.

2201021132202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41348 (or 41345 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 2201021132202 its reverse (2022311201022), we get a palindrome (4223332333224).

The spelling of 2201021132202 in words is "two trillion, two hundred one billion, twenty-one million, one hundred thirty-two thousand, two hundred two".

Divisors: 1 2 3 6 9 17 18 34 51 83 102 153 166 249 306 498 747 1411 1494 2221 2822 4233 4442 6663 8466 12699 13326 19989 25398 37757 39019 39978 75514 78038 113271 117057 184343 226542 234114 339813 351171 368686 553029 663323 679626 702342 1106058 1326646 1659087 1989969 3133831 3238577 3318174 3979938 5969907 6267662 6477154 9401493 9715731 11939814 18802986 19431462 28204479 29147193 55055809 56408958 58294386 86661199 110111618 165167427 173322398 259983597 330334854 495502281 519967194 779950791 991004562 1473240383 1559901582 2946480766 4419721149 7192879517 8839442298 13259163447 14385759034 21578638551 26518326894 43157277102 64735915653 122278951789 129471831306 244557903578 366836855367 733673710734 1100510566101 2201021132202