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201221002010 = 257174014091031
BaseRepresentation
bin1011101101100110110…
…1001101001100011010
3201020101102211000101002
42323121231031030122
511244100034031020
6232234544225002
720352305203430
oct2733155151432
9636342730332
10201221002010
1178379012076
1232bb860b162
1315c8a287b82
149a4c31ad50
15537a75c975
hex2ed9b4d31a

201221002010 has 128 divisors (see below), whose sum is σ = 440884270080. Its totient is φ = 64548864000.

The previous prime is 201221002009. The next prime is 201221002013. The reversal of 201221002010 is 10200122102.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 201221001982 and 201221002000.

It is not an unprimeable number, because it can be changed into a prime (201221002013) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195170195 + ... + 195171225.

It is an arithmetic number, because the mean of its divisors is an integer number (3444408360).

Almost surely, 2201221002010 is an apocalyptic number.

201221002010 is an abundant number, since it is smaller than the sum of its proper divisors (239663268070).

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

201221002010 is a wasteful number, since it uses less digits than its factorization.

201221002010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872.

The product of its (nonzero) digits is 16, while the sum is 11.

Adding to 201221002010 its reverse (10200122102), we get a palindrome (211421124112).

The spelling of 201221002010 in words is "two hundred one billion, two hundred twenty-one million, two thousand, ten".

Divisors: 1 2 5 7 10 14 17 34 35 70 85 119 170 238 401 409 595 802 818 1031 1190 2005 2045 2062 2807 2863 4010 4090 5155 5614 5726 6817 6953 7217 10310 13634 13906 14035 14315 14434 17527 28070 28630 34085 34765 35054 36085 47719 48671 68170 69530 72170 87635 95438 97342 122689 164009 175270 238595 243355 245378 328018 413431 421679 477190 486710 613445 820045 826862 843358 1148063 1226890 1640090 2067155 2108395 2296126 2788153 2894017 2951753 4134310 4216790 5576306 5740315 5788034 5903506 7028327 7168543 11480630 13940765 14056654 14337086 14470085 14758765 19517071 27881530 28940170 29517530 35141635 35842715 39034142 49198289 50179801 70283270 71685430 97585355 98396578 100359602 169093279 195170710 245991445 250899005 338186558 491982890 501798010 845466395 1183652953 1690932790 2367305906 2874585743 5749171486 5918264765 11836529530 14372928715 20122100201 28745857430 40244200402 100610501005 201221002010