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3213421002 = 2321131411132
BaseRepresentation
bin1011111110001000…
…1110100111001010
322021221121200220200
42333202032213022
523040113433002
61250510433030
7142426425231
oct27742164712
98257550820
103213421002
1113a998a840
12758202776
133c298a55c
14226abdb18
1513c19eb1c
hexbf88e9ca

3213421002 has 144 divisors (see below), whose sum is σ = 8103303936. Its totient is φ = 911232000.

The previous prime is 3213420983. The next prime is 3213421019. The reversal of 3213421002 is 2001243123.

3213421002 is a `hidden beast` number, since 321 + 342 + 1 + 0 + 0 + 2 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 28437298 + ... + 28437410.

It is an arithmetic number, because the mean of its divisors is an integer number (56272944).

Almost surely, 23213421002 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3213421002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4051651968).

3213421002 is an abundant number, since it is smaller than the sum of its proper divisors (4889882934).

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

3213421002 is a wasteful number, since it uses less digits than its factorization.

3213421002 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 201 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 3213421002 is about 56687.0443928769. The cubic root of 3213421002 is about 1475.6698674485.

Adding to 3213421002 its reverse (2001243123), we get a palindrome (5214664125).

The spelling of 3213421002 in words is "three billion, two hundred thirteen million, four hundred twenty-one thousand, two".

Divisors: 1 2 3 6 9 11 18 22 31 33 41 62 66 82 93 99 113 123 186 198 226 246 279 339 341 369 451 558 678 682 738 902 1017 1023 1243 1271 1353 2034 2046 2486 2542 2706 3069 3503 3729 3813 4059 4633 6138 7006 7458 7626 8118 9266 10509 11187 11439 12769 13899 13981 21018 22374 22878 25538 27798 27962 31527 38307 38533 41697 41943 50963 63054 76614 77066 83394 83886 101926 114921 115599 125829 140459 143623 152889 229842 231198 251658 280918 287246 305778 346797 395839 421377 430869 458667 523529 693594 791678 842754 861738 917334 1047058 1187517 1264131 1292607 1570587 1579853 2375034 2528262 2585214 3141174 3159706 3562551 4354229 4711761 4739559 5758819 7125102 8708458 9423522 9479118 11517638 13062687 14218677 16229399 17276457 26125374 28437354 32458798 34552914 39188061 48688197 51829371 78376122 97376394 103658742 146064591 178523389 292129182 357046778 535570167 1071140334 1606710501 3213421002