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102221012020002 = 23417159319874967
BaseRepresentation
bin10111001111100000101111…
…000111000010101100100010
3111101221020022002021021110020
4113033200233013002230202
5101344242113034120002
61001223403514214310
730350136653624001
oct2717405707025442
9441836262237406
10102221012020002
112a630762430847
12b56b14a124396
134506527c5c3c5
141b35748224c38
15bc400a7452bc
hex5cf82f1c2b22

102221012020002 has 128 divisors (see below), whose sum is σ = 212886168219648. Its totient is φ = 32696080435200.

The previous prime is 102221012019991. The next prime is 102221012020019. The reversal of 102221012020002 is 200020210122201.

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 63 ways as a sum of consecutive naturals, for example, 20580028123 + ... + 20580033089.

It is an arithmetic number, because the mean of its divisors is an integer number (1663173189216).

Almost surely, 2102221012020002 is an apocalyptic number.

102221012020002 is an abundant number, since it is smaller than the sum of its proper divisors (110665156199646).

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

102221012020002 is a wasteful number, since it uses less digits than its factorization.

102221012020002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7664.

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 102221012020002 its reverse (200020210122201), we get a palindrome (302241222142203).

The spelling of 102221012020002 in words is "one hundred two trillion, two hundred twenty-one billion, twelve million, twenty thousand, two".

Divisors: 1 2 3 6 41 71 82 123 142 213 246 426 593 1186 1779 1987 2911 3558 3974 4967 5822 5961 8733 9934 11922 14901 17466 24313 29802 42103 48626 72939 81467 84206 126309 141077 145878 162934 203647 244401 252618 282154 352657 407294 423231 488802 610941 705314 846462 1057971 1178291 1221882 1726223 2115942 2356582 2945431 3452446 3534873 5178669 5784157 5890862 7069746 8836293 9869429 10357338 11568314 14458937 17352471 17672586 19738858 28917874 29608287 34704942 43376811 48309931 59216574 83658661 86753622 96619862 120762671 144929793 167317322 209125601 241525342 250975983 289859586 362288013 404646589 418251202 501951966 627376803 700729459 724576026 809293178 1213939767 1254753606 1401458918 2102188377 2427879534 3430005101 4204376754 5852571397 6860010202 8574149641 10290015303 11705142794 17148299282 17557714191 20580030606 25722448923 28729907819 35115428382 51444897846 57459815638 86189723457 172379446914 239955427277 415532569187 479910854554 719866281831 831065138374 1246597707561 1439732563662 2493195415122 17036835336667 34073670673334 51110506010001 102221012020002