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211102020010 = 257210112733587
BaseRepresentation
bin1100010010011010101…
…0010011000110101010
3202011220001200201212201
43010212222103012222
511424314104120020
6240551240530414
721152206364200
oct3044652230652
9664801621781
10211102020010
1181589650152
1234ab5780a0a
1316ba341689b
14a30874b070
155757e66a0a
hex3126a931aa

211102020010 has 96 divisors (see below), whose sum is σ = 449926576128. Its totient is φ = 71094844800.

The previous prime is 211102020007. The next prime is 211102020013. The reversal of 211102020010 is 10020201112.

It is an interprime number because it is at equal distance from previous prime (211102020007) and next prime (211102020013).

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

It is not an unprimeable number, because it can be changed into a prime (211102020013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6268437 + ... + 6302023.

It is an arithmetic number, because the mean of its divisors is an integer number (4686735168).

Almost surely, 2211102020010 is an apocalyptic number.

211102020010 is an abundant number, since it is smaller than the sum of its proper divisors (238824556118).

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

211102020010 is a wasteful number, since it uses less digits than its factorization.

211102020010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33836 (or 33829 counting only the distinct ones).

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

Adding to 211102020010 its reverse (10020201112), we get a palindrome (221122221122).

The spelling of 211102020010 in words is "two hundred eleven billion, one hundred two million, twenty thousand, ten".

Divisors: 1 2 5 7 10 14 35 49 70 98 101 127 202 245 254 490 505 635 707 889 1010 1270 1414 1778 3535 4445 4949 6223 7070 8890 9898 12446 12827 24745 25654 31115 33587 49490 62230 64135 67174 89789 128270 167935 179578 235109 335870 448945 470218 628523 897890 1175545 1257046 1645763 2351090 3142615 3291526 3392287 4265549 6285230 6784574 8228815 8531098 16457630 16961435 21327745 23746009 29858843 33922870 42655490 47492018 59717686 118730045 149294215 166222063 209011901 237460090 298588430 332444126 418023802 430820449 831110315 861640898 1045059505 1662220630 2090119010 2154102245 3015743143 4308204490 6031486286 15078715715 21110202001 30157431430 42220404002 105551010005 211102020010