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2102220332010 = 2325173737135141
BaseRepresentation
bin11110100101110110000…
…110001001101111101010
321102222012100102202010200
4132211312012021233222
5233420321401111020
64245425141253030
7304610656663521
oct36456606115752
97388170382120
102102220332010
11740601633217
1229b511404176
13123314073a26
1473a687614b8
1539a3c0ed590
hex1e976189bea

2102220332010 has 96 divisors (see below), whose sum is σ = 5943702287952. Its totient is φ = 513356175360.

The previous prime is 2102220331999. The next prime is 2102220332021. The reversal of 2102220332010 is 102330222012.

2102220332010 is a `hidden beast` number, since 2 + 102 + 220 + 332 + 0 + 10 = 666.

It is an interprime number because it is at equal distance from previous prime (2102220331999) and next prime (2102220332021).

It can be written as a sum of positive squares in 8 ways, for example, as 1688734037169 + 413486294841 = 1299513^2 + 643029^2 .

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

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, 18510961 + ... + 18624180.

Almost surely, 22102220332010 is an apocalyptic number.

2102220332010 is an abundant number, since it is smaller than the sum of its proper divisors (3841481955942).

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

2102220332010 is a wasteful number, since it uses less digits than its factorization.

2102220332010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37135208 (or 37135205 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 2102220332010 its reverse (102330222012), we get a palindrome (2204550554022).

The spelling of 2102220332010 in words is "two trillion, one hundred two billion, two hundred twenty million, three hundred thirty-two thousand, ten".

Divisors: 1 2 3 5 6 9 10 15 17 18 30 34 37 45 51 74 85 90 102 111 153 170 185 222 255 306 333 370 510 555 629 666 765 1110 1258 1530 1665 1887 3145 3330 3774 5661 6290 9435 11322 18870 28305 56610 37135141 74270282 111405423 185675705 222810846 334216269 371351410 557027115 631297397 668432538 1114054230 1262594794 1374000217 1671081345 1893892191 2748000434 3156486985 3342162690 3787784382 4122000651 5681676573 6312973970 6870001085 8244001302 9469460955 11363353146 12366001953 13740002170 18938921910 20610003255 23358003689 24732003906 28408382865 41220006510 46716007378 56816765730 61830009765 70074011067 116790018445 123660019530 140148022134 210222033201 233580036890 350370055335 420444066402 700740110670 1051110166005 2102220332010