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100021100322 = 2311131947912809
BaseRepresentation
bin101110100100110111…
…0001101111100100010
3100120011122100100110010
41131021232031330202
53114320400202242
6113540555145350
710140421216323
oct1351156157442
9316148310403
10100021100322
1139467338090
1217474a45256
13957ccb9940
144babb9444a
15290600689c
hex1749b8df22

100021100322 has 128 divisors (see below), whose sum is σ = 247919616000. Its totient is φ = 26448007680.

The previous prime is 100021100269. The next prime is 100021100323. The reversal of 100021100322 is 223001120001.

It is a junction number, because it is equal to n+sod(n) for n = 100021100298 and 100021100307.

It is not an unprimeable number, because it can be changed into a prime (100021100323) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 7802254 + ... + 7815062.

It is an arithmetic number, because the mean of its divisors is an integer number (1936872000).

Almost surely, 2100021100322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 100021100322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123959808000).

100021100322 is an abundant number, since it is smaller than the sum of its proper divisors (147898515678).

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

100021100322 is a wasteful number, since it uses less digits than its factorization.

100021100322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13336.

The product of its (nonzero) digits is 24, while the sum is 12.

Adding to 100021100322 its reverse (223001120001), we get a palindrome (323022220323).

The spelling of 100021100322 in words is "one hundred billion, twenty-one million, one hundred thousand, three hundred twenty-two".

Divisors: 1 2 3 6 11 13 19 22 26 33 38 39 57 66 78 114 143 209 247 286 418 429 479 494 627 741 858 958 1254 1437 1482 2717 2874 5269 5434 6227 8151 9101 10538 12454 12809 15807 16302 18202 18681 25618 27303 31614 37362 38427 54606 68497 76854 100111 118313 136994 140899 166517 200222 205491 236626 243371 281798 300333 333034 354939 410982 422697 486742 499551 600666 709878 730113 845394 999102 1301443 1460226 1831687 2602886 2677081 3163823 3663374 3904329 5354162 5495061 6135511 6327646 7808658 8031243 9491469 10990122 12271022 16062486 18406533 18982938 34802053 36813066 67490621 69604106 79761643 104406159 116574709 134981242 159523286 202471863 208812318 233149418 239284929 349724127 404943726 478569858 699448254 877378073 1282321799 1515471217 1754756146 2564643598 2632134219 3030942434 3846965397 4546413651 5264268438 7693930794 9092827302 16670183387 33340366774 50010550161 100021100322