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10332101013102 = 23211533063132143
BaseRepresentation
bin1001011001011010000100…
…1101011110111001101110
31100120201221212212201002200
42112112201031132321232
52323240120324404402
633550300210202330
72114320044362301
oct226264115367156
940521855781080
1010332101013102
113323901734610
1211aa51b8833a6
1359c40b70322b
1427a10d74ab38
1512db658e321c
hex965a135ee6e

10332101013102 has 96 divisors (see below), whose sum is σ = 24883695922176. Its totient is φ = 3071669515200.

The previous prime is 10332101013089. The next prime is 10332101013121. The reversal of 10332101013102 is 20131010123301.

10332101013102 is a `hidden beast` number, since 1 + 0 + 332 + 10 + 10 + 1 + 310 + 2 = 666.

It is a super-3 number, since 3×103321010131023 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 321425643 + ... + 321457785.

It is an arithmetic number, because the mean of its divisors is an integer number (259205165856).

Almost surely, 210332101013102 is an apocalyptic number.

10332101013102 is an abundant number, since it is smaller than the sum of its proper divisors (14551594909074).

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

10332101013102 is a wasteful number, since it uses less digits than its factorization.

10332101013102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62846 (or 62843 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

Adding to 10332101013102 its reverse (20131010123301), we get a palindrome (30463111136403).

The spelling of 10332101013102 in words is "ten trillion, three hundred thirty-two billion, one hundred one million, thirteen thousand, one hundred two".

Divisors: 1 2 3 6 9 11 18 22 33 53 66 99 106 159 198 318 477 583 954 1166 1749 3498 5247 10494 30631 32143 61262 64286 91893 96429 183786 192858 275679 289287 336941 353573 551358 578574 673882 707146 1010823 1060719 1623443 1703579 2021646 2121438 3032469 3182157 3246886 3407158 4870329 5110737 6064938 6364314 9740658 10221474 14610987 15332211 17857873 18739369 29221974 30664422 35715746 37478738 53573619 56218107 107147238 112436214 160720857 168654321 321441714 337308642 984572233 1969144466 2953716699 5907433398 8861150097 10830294563 17722300194 21660589126 32490883689 52182328349 64981767378 97472651067 104364656698 156546985047 194945302134 313093970094 469640955141 574005611839 939281910282 1148011223678 1722016835517 3444033671034 5166050506551 10332101013102