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100021122213320 = 235711103315285343
BaseRepresentation
bin10110101111011111111011…
…011101011010010111001000
3111010010220222222111010210202
4112233133323131122113020
5101102221224241311240
6552421022541031332
730032200436040140
oct2657377335322710
9433126888433722
10100021122213320
11299627a0a42720
12b27491b555548
1343a6c4a17b219
141a9b096179920
15b86ba3d0d315
hex5af7fb75a5c8

100021122213320 has 128 divisors (see below), whose sum is σ = 283302798704640. Its totient is φ = 30872740688640.

The previous prime is 100021122213319. The next prime is 100021122213347. The reversal of 100021122213320 is 23312221120001.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 100021122213292 and 100021122213301.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157325432 + ... + 157959911.

It is an arithmetic number, because the mean of its divisors is an integer number (2213303114880).

Almost surely, 2100021122213320 is an apocalyptic number.

100021122213320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

100021122213320 is an abundant number, since it is smaller than the sum of its proper divisors (183281676491320).

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

100021122213320 is a wasteful number, since it uses less digits than its factorization.

100021122213320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315285475 (or 315285471 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 100021122213320 its reverse (23312221120001), we get a palindrome (123333343333321).

The spelling of 100021122213320 in words is "one hundred trillion, twenty-one billion, one hundred twenty-two million, two hundred thirteen thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 103 110 140 154 206 220 280 308 385 412 440 515 616 721 770 824 1030 1133 1442 1540 2060 2266 2884 3080 3605 4120 4532 5665 5768 7210 7931 9064 11330 14420 15862 22660 28840 31724 39655 45320 63448 79310 158620 317240 315285343 630570686 1261141372 1576426715 2206997401 2522282744 3152853430 3468138773 4413994802 6305706860 6936277546 8827989604 11034987005 12611413720 13872555092 17340693865 17655979208 22069974010 24276971411 27745110184 32474390329 34681387730 44139948020 48553942822 64948780658 69362775460 88279896040 97107885644 121384857055 129897561316 138725550920 162371951645 194215771288 227320732303 242769714110 259795122632 324743903290 357218293619 454641464606 485539428220 649487806580 714436587238 909282929212 971078856440 1136603661515 1298975613160 1428873174476 1786091468095 1818565858424 2273207323030 2500528055333 2857746348952 3572182936190 4546414646060 5001056110666 7144365872380 9092829292120 10002112221332 12502640276665 14288731744760 20004224442664 25005280553330 50010561106660 100021122213320