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32230131000100 = 225211411813948271
BaseRepresentation
bin1110101010000001010011…
…00000100110001100100100
311020010011121020121200200021
413111000221200212030210
513211024302014000400
6152314152350124524
76534356456204515
oct725005140461444
9136104536550607
1032230131000100
11a2a67a3791410
1237464b97b0744
1314ca399563617
147d5d37906a0c
153ad5a65ce71a
hex1d5029826324

32230131000100 has 144 divisors (see below), whose sum is σ = 78590259401472. Its totient is φ = 11371017600000.

The previous prime is 32230131000083. The next prime is 32230131000107. The reversal of 32230131000100 is 100013103223.

It is not an unprimeable number, because it can be changed into a prime (32230131000107) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 6188965 + ... + 10137235.

It is an arithmetic number, because the mean of its divisors is an integer number (545765690288).

Almost surely, 232230131000100 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32230131000100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39295129700736).

32230131000100 is an abundant number, since it is smaller than the sum of its proper divisors (46360128401372).

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

32230131000100 is a wasteful number, since it uses less digits than its factorization.

32230131000100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3948518 (or 3948511 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 16.

Adding to 32230131000100 its reverse (100013103223), we get a palindrome (32330144103323).

The spelling of 32230131000100 in words is "thirty-two trillion, two hundred thirty billion, one hundred thirty-one million, one hundred", and thus it is an aban number.

Divisors: 1 2 4 5 10 11 20 22 25 41 44 50 55 82 100 110 164 181 205 220 275 362 410 451 550 724 820 902 905 1025 1100 1804 1810 1991 2050 2255 3620 3982 4100 4510 4525 7421 7964 9020 9050 9955 11275 14842 18100 19910 22550 29684 37105 39820 45100 49775 74210 81631 99550 148420 163262 185525 199100 326524 371050 408155 742100 816310 1632620 2040775 3948271 4081550 7896542 8163100 15793084 19741355 39482710 43430981 78965420 86861962 98706775 161879111 173723924 197413550 217154905 323758222 394827100 434309810 647516444 714637051 809395555 868619620 1085774525 1429274102 1618791110 1780670221 2171549050 2858548204 3237582220 3561340442 3573185255 4046977775 4343098100 7122680884 7146370510 7861007561 8093955550 8903351105 14292741020 15722015122 16187911100 17806702210 17865926275 29300119091 31444030244 35613404420 35731852550 39305037805 44516755525 58600238182 71463705100 78610075610 89033511050 117200476364 146500595455 157220151220 178067022100 196525189025 293001190910 322301310001 393050378050 586002381820 644602620002 732502977275 786100756100 1289205240004 1465005954550 1611506550005 2930011909100 3223013100010 6446026200020 8057532750025 16115065500050 32230131000100