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10002140031030 = 23571277316711777
BaseRepresentation
bin1001000110001100111000…
…0000001110100000110110
31022102012021100002002111220
42101203032000032200312
52302333340321443110
633134530353211210
72051426232325650
oct221431600164066
938365240062456
1010002140031030
11320697a324004
121156594560b06
13577275621084
1426816b4396d0
151252a2c66370
hex918ce00e836

10002140031030 has 128 divisors (see below), whose sum is σ = 27466926170112. Its totient is φ = 2283497914368.

The previous prime is 10002140031007. The next prime is 10002140031119. The reversal of 10002140031030 is 3013004120001.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 849288502 + ... + 849300278.

It is an arithmetic number, because the mean of its divisors is an integer number (214585360704).

Almost surely, 210002140031030 is an apocalyptic number.

10002140031030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10002140031030 is an abundant number, since it is smaller than the sum of its proper divisors (17464786139082).

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

10002140031030 is a wasteful number, since it uses less digits than its factorization.

10002140031030 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16238.

The product of its (nonzero) digits is 72, while the sum is 15.

Adding to 10002140031030 its reverse (3013004120001), we get a palindrome (13015144151031).

The spelling of 10002140031030 in words is "ten trillion, two billion, one hundred forty million, thirty-one thousand, thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 105 210 1277 2554 3167 3831 6334 6385 7662 8939 9501 11777 12770 15835 17878 19002 19155 22169 23554 26817 31670 35331 38310 44338 44695 47505 53634 58885 66507 70662 82439 89390 95010 110845 117770 133014 134085 164878 176655 221690 247317 268170 332535 353310 412195 494634 665070 824390 1236585 2473170 4044259 8088518 12132777 15039229 20221295 24265554 28309813 30078458 37297759 40442590 45117687 56619626 60663885 74595518 75196145 84929439 90235374 105274603 111893277 121327770 141549065 150392290 169858878 186488795 210549206 223786554 225588435 261084313 283098130 315823809 372977590 424647195 451176870 522168626 526373015 559466385 631647618 783252939 849294390 1052746030 1118932770 1305421565 1566505878 1579119045 2610843130 3158238090 3916264695 7832529390 47629238243 95258476486 142887714729 238146191215 285775429458 333404667701 476292382430 666809335402 714438573645 1000214003103 1428877147290 1667023338505 2000428006206 3334046677010 5001070015515 10002140031030