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202132411002 = 232296115740433
BaseRepresentation
bin1011110001000000000…
…1111101001001111010
3201022201221210101110200
42330100001331021322
511302431344123002
6232505223023030
720414013100464
oct2742001751172
9638657711420
10202132411002
11787a6527145
123321189aa76
13160a4047532
149ad73a7134
1553d078eb1c
hex2f1007d27a

202132411002 has 96 divisors (see below), whose sum is σ = 463427012880. Its totient is φ = 63578511360.

The previous prime is 202132410979. The next prime is 202132411009. The reversal of 202132411002 is 200114231202.

It is a happy number.

202132411002 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 7272848961 + 194859562041 = 85281^2 + 441429^2 .

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

It is not an unprimeable number, because it can be changed into a prime (202132411009) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4978978 + ... + 5019410.

Almost surely, 2202132411002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202132411002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231713506440).

202132411002 is an abundant number, since it is smaller than the sum of its proper divisors (261294601878).

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

202132411002 is a wasteful number, since it uses less digits than its factorization.

202132411002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40688 (or 40685 counting only the distinct ones).

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

Adding to 202132411002 its reverse (200114231202), we get a palindrome (402246642204).

The spelling of 202132411002 in words is "two hundred two billion, one hundred thirty-two million, four hundred eleven thousand, two".

Divisors: 1 2 3 6 9 18 29 58 61 87 122 157 174 183 261 314 366 471 522 549 942 1098 1413 1769 2826 3538 4553 5307 9106 9577 10614 13659 15921 19154 27318 28731 31842 40433 40977 57462 80866 81954 86193 121299 172386 242598 277733 363897 555466 727794 833199 1172557 1666398 2345114 2466413 2499597 3517671 4932826 4999194 6347981 7035342 7399239 10553013 12695962 14798478 19043943 21106026 22197717 38087886 44395434 57131829 71525977 114263658 143051954 184091449 214577931 368182898 387226841 429155862 552274347 643733793 774453682 1104548694 1161680523 1287467586 1656823041 2323361046 3313646082 3485041569 6970083138 11229578389 22459156778 33688735167 67377470334 101066205501 202132411002