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30202112221002 = 2334324154199761
BaseRepresentation
bin1101101110111111110100…
…01010111001111101001010
310221221021221010111101111000
412313133322022321331022
512424312411212033002
6144122354145315430
76235013332050021
oct667377212717512
9127837833441430
1030202112221002
119694709a88147
123479456335b76
1313b107c237a27
14765b0bbb98b8
1537595d8cb61c
hex1b77fa2b9f4a

30202112221002 has 128 divisors (see below), whose sum is σ = 69089766071040. Its totient is φ = 9774245376000.

The previous prime is 30202112220989. The next prime is 30202112221091. The reversal of 30202112221002 is 20012221120203.

It is a super-2 number, since 2×302021122210022 (a number of 28 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 302694802 + ... + 302794562.

It is an arithmetic number, because the mean of its divisors is an integer number (539763797430).

Almost surely, 230202112221002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30202112221002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34544883035520).

30202112221002 is an abundant number, since it is smaller than the sum of its proper divisors (38887653850038).

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

30202112221002 is a wasteful number, since it uses less digits than its factorization.

30202112221002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100597 (or 100591 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

Adding to 30202112221002 its reverse (20012221120203), we get a palindrome (50214333341205).

The spelling of 30202112221002 in words is "thirty trillion, two hundred two billion, one hundred twelve million, two hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 18 27 43 54 86 129 241 258 387 482 541 723 774 1082 1161 1446 1623 2169 2322 3246 4338 4869 6507 9738 10363 13014 14607 20726 23263 29214 31089 46526 62178 69789 93267 99761 130381 139578 186534 199522 209367 260762 279801 299283 391143 418734 559602 598566 628101 782286 897849 1173429 1256202 1795698 2346858 2693547 3520287 4289723 5387094 5606383 7040574 8579446 11212766 12869169 16819149 24042401 25738338 33638298 38607507 48084802 50457447 53970701 72127203 77215014 100914894 107941402 115822521 144254406 151372341 161912103 216381609 231645042 302744682 323824206 432763218 485736309 649144827 971472618 1033823243 1298289654 1457208927 2067646486 2320740143 2914417854 3101469729 4641480286 6202939458 6962220429 9304409187 13006938941 13924440858 18608818374 20886661287 26013877882 27913227561 39020816823 41773322574 55826455122 62659983861 78041633646 117062450469 125319967722 234124900938 351187351407 559298374463 702374702814 1118596748926 1677895123389 3355790246778 5033685370167 10067370740334 15101056110501 30202112221002