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102213214013030 = 25416138395311197
BaseRepresentation
bin10111001111011001011110…
…010100000000011001100110
3111101220111011121221110220012
4113033121132110000121212
5101344130130241404110
61001220034032010222
730346442504641541
oct2717313624003146
9441814147843805
10102213214013030
112a62842068778a
12b569732690972
1345058845207b3
141b352086db858
15bc3c00d49905
hex5cf65e500666

102213214013030 has 128 divisors (see below), whose sum is σ = 192279749308416. Its totient is φ = 39087188582400.

The previous prime is 102213214013003. The next prime is 102213214013047. The reversal of 102213214013030 is 30310412312201.

It is a super-2 number, since 2×1022132140130302 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 102213214012987 and 102213214013005.

It is a congruent number.

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, 9128619392 + ... + 9128630588.

It is an arithmetic number, because the mean of its divisors is an integer number (1502185541472).

Almost surely, 2102213214013030 is an apocalyptic number.

102213214013030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

102213214013030 is a deficient number, since it is larger than the sum of its proper divisors (90066535295386).

102213214013030 is a wasteful number, since it uses less digits than its factorization.

102213214013030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12642.

The product of its (nonzero) digits is 864, while the sum is 23.

Adding to 102213214013030 its reverse (30310412312201), we get a palindrome (132523626325231).

The spelling of 102213214013030 in words is "one hundred two trillion, two hundred thirteen billion, two hundred fourteen million, thirteen thousand, thirty".

Divisors: 1 2 5 10 41 61 82 122 205 305 383 410 610 766 953 1906 1915 2501 3830 4765 5002 9530 11197 12505 15703 22394 23363 25010 31406 39073 46726 55985 58133 78146 78515 111970 116266 116815 157030 195365 233630 290665 364999 390730 459077 581330 683017 729998 918154 957883 1366034 1824995 1915766 2295385 2383453 3415085 3649990 4288451 4590770 4766906 4789415 6830170 8576902 9578830 10670741 11917265 14964959 21341482 21442255 22264939 23834530 28003697 29929918 42884510 44529878 53353705 56007394 74824795 106707410 111324695 140018485 149649590 175826491 222649390 261595511 280036970 351652982 437500381 523191022 650915201 875000762 879132455 912862499 1301830402 1307977555 1758264910 1825724998 2187501905 2615955110 3254576005 4086893803 4375003810 4564312495 6509152010 8173787606 9128624990 10725415951 20434469015 21450831902 26687523241 40868938030 53375046482 53627079755 107254159510 133437616205 167562645923 249300521983 266875232410 335125291846 498601043966 837813229615 1246502609915 1675626459230 2493005219830 10221321401303 20442642802606 51106607006515 102213214013030