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21122404511020 = 22519222325152267
BaseRepresentation
bin1001100110101111100010…
…11010101110110100101100
32202210021121200120100122221
410303113301122232310230
510232032141023323040
6112531255414045124
74310020605655351
oct463276132566454
982707550510587
1021122404511020
116803a6376083a
1224517b66497a4
13ba2aac971907
145304890c2628
1526969771a74a
hex1335f16aed2c

21122404511020 has 144 divisors (see below), whose sum is σ = 47212685872128. Its totient is φ = 7936487568000.

The previous prime is 21122404511003. The next prime is 21122404511023. The reversal of 21122404511020 is 2011540422112.

It is not an unprimeable number, because it can be changed into a prime (21122404511023) 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, 404098927 + ... + 404151193.

It is an arithmetic number, because the mean of its divisors is an integer number (327865874112).

Almost surely, 221122404511020 is an apocalyptic number.

21122404511020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21122404511020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23606342936064).

21122404511020 is an abundant number, since it is smaller than the sum of its proper divisors (26090281361108).

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

21122404511020 is a wasteful number, since it uses less digits than its factorization.

21122404511020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52788 (or 52767 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 25.

Adding to 21122404511020 its reverse (2011540422112), we get a palindrome (23133944933132).

The spelling of 21122404511020 in words is "twenty-one trillion, one hundred twenty-two billion, four hundred four million, five hundred eleven thousand, twenty".

Divisors: 1 2 4 5 10 19 20 38 76 95 190 223 251 361 380 446 502 722 892 1004 1115 1255 1444 1805 2230 2510 3610 4237 4460 4769 5020 7220 8474 9538 16948 19076 21185 23845 42370 47690 52267 55973 80503 84740 90611 95380 104534 111946 161006 181222 209068 223892 261335 279865 322012 362444 402515 453055 522670 559730 805030 906110 993073 1045340 1063487 1119460 1610060 1812220 1986146 2126974 3972292 4253948 4965365 5317435 9930730 10634870 11655541 13119017 18868387 19861460 20206253 21269740 23311082 26238034 37736774 40412506 46622164 52476068 58277705 65595085 75473548 80825012 94341935 101031265 116555410 131190170 188683870 202062530 221455279 233110820 249261323 262380340 377367740 404125060 442910558 498522646 885821116 997045292 1107276395 1246306615 2214552790 2492613230 2925540791 4207650301 4429105580 4735965137 4985226460 5851081582 8415300602 9471930274 11702163164 14627703955 16830601204 18943860548 21038251505 23679825685 29255407910 42076503010 47359651370 55585275029 58510815820 84153006020 94719302740 111170550058 222341100116 277926375145 555852750290 1056120225551 1111705500580 2112240451102 4224480902204 5280601127755 10561202255510 21122404511020