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10201000201212 = 22329712423170393
BaseRepresentation
bin1001010001110001101011…
…1111100100101111111100
31100010012120020120102110010
42110130122333210233330
52314113122022414322
633410135204543220
72101666203020652
oct224343277445774
940105506512403
1010201000201212
113283246746197
1211890323b1b10
1358cc47755322
14273a33db0dd2
1512a5410d820c
hex9471afe4bfc

10201000201212 has 96 divisors (see below), whose sum is σ = 24980360186880. Its totient is φ = 3235485084160.

The previous prime is 10201000201211. The next prime is 10201000201229. The reversal of 10201000201212 is 21210200010201.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10201000201211) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 59782288 + ... + 59952680.

It is an arithmetic number, because the mean of its divisors is an integer number (260212085280).

Almost surely, 210201000201212 is an apocalyptic number.

10201000201212 is a gapful number since it is divisible by the number (12) 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 10201000201212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12490180093440).

10201000201212 is an abundant number, since it is smaller than the sum of its proper divisors (14779359985668).

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

10201000201212 is a wasteful number, since it uses less digits than its factorization.

10201000201212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172923 (or 172921 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

Adding to 10201000201212 its reverse (21210200010201), we get a palindrome (31411200211413).

The spelling of 10201000201212 in words is "ten trillion, two hundred one billion, two hundred one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 29 58 71 87 116 142 174 213 284 348 426 852 2059 2423 4118 4846 6177 7269 8236 9692 12354 14538 24708 29076 70267 140534 170393 172033 210801 281068 340786 344066 421602 511179 516099 681572 688132 843204 1022358 1032198 2044716 2064396 4941397 4988957 9882794 9977914 12097903 14824191 14966871 19765588 19955828 24195806 29648382 29933742 36293709 48391612 59296764 59867484 72587418 145174836 350839187 412862239 701678374 825724478 1052517561 1238586717 1403356748 1651448956 2105035122 2477173434 4210070244 4954346868 11973004931 23946009862 29313218969 35919014793 47892019724 58626437938 71838029586 87939656907 117252875876 143676059172 175879313814 351758627628 850083350101 1700166700202 2550250050303 3400333400404 5100500100606 10201000201212