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100322000220 = 223513130798407
BaseRepresentation
bin101110101101110101…
…0000011110101011100
3100120221121112122111210
41131123222003311130
53120424413001340
6114030504344420
710151033634441
oct1353352036534
9316847478453
10100322000220
1139601176692
1217539775110
1395ca441210
144bd9b1d9c8
152922642180
hex175ba83d5c

100322000220 has 96 divisors (see below), whose sum is σ = 302743945728. Its totient is φ = 24675501312.

The previous prime is 100322000203. The next prime is 100322000243. The reversal of 100322000220 is 22000223001.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 100322000196 and 100322000205.

It is a congruent number.

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, 970257 + ... + 1068663.

It is an arithmetic number, because the mean of its divisors is an integer number (3153582768).

Almost surely, 2100322000220 is an apocalyptic number.

100322000220 is a gapful number since it is divisible by the number (10) 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 100322000220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151371972864).

100322000220 is an abundant number, since it is smaller than the sum of its proper divisors (202421945508).

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

100322000220 is a wasteful number, since it uses less digits than its factorization.

100322000220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99739 (or 99737 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

Adding to 100322000220 its reverse (22000223001), we get a palindrome (122322223221).

The spelling of 100322000220 in words is "one hundred billion, three hundred twenty-two million, two hundred twenty", and thus it is an aban number.

Divisors: 1 2 3 4 5 6 10 12 13 15 20 26 30 39 52 60 65 78 130 156 195 260 390 780 1307 2614 3921 5228 6535 7842 13070 15684 16991 19605 26140 33982 39210 50973 67964 78420 84955 98407 101946 169910 196814 203892 254865 295221 339820 393628 492035 509730 590442 984070 1019460 1180884 1279291 1476105 1968140 2558582 2952210 3837873 5117164 5904420 6396455 7675746 12792910 15351492 19189365 25585820 38378730 76757460 128617949 257235898 385853847 514471796 643089745 771707694 1286179490 1543415388 1672033337 1929269235 2572358980 3344066674 3858538470 5016100011 6688133348 7717076940 8360166685 10032200022 16720333370 20064400044 25080500055 33440666740 50161000110 100322000220