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31222201000 = 2353236720261
BaseRepresentation
bin11101000100111111…
…001111101010101000
32222120221002010221211
4131010333033222220
51002420340413000
622202052042504
72153500221034
oct350477175250
988527063854
1031222201000
1112272133801
126074303434
132c37660763
1417228b71c4
15c2b09c7ba
hex744fcfaa8

31222201000 has 128 divisors (see below), whose sum is σ = 77378146560. Its totient is φ = 11767008000.

The previous prime is 31222200967. The next prime is 31222201013. The reversal of 31222201000 is 10222213.

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, 1530870 + ... + 1551130.

It is an arithmetic number, because the mean of its divisors is an integer number (604516770).

Almost surely, 231222201000 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 31222201000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38689073280).

31222201000 is an abundant number, since it is smaller than the sum of its proper divisors (46155945560).

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

31222201000 is a wasteful number, since it uses less digits than its factorization.

31222201000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20372 (or 20358 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 13.

Adding to 31222201000 its reverse (10222213), we get a palindrome (31232423213).

The spelling of 31222201000 in words is "thirty-one billion, two hundred twenty-two million, two hundred one thousand".

Divisors: 1 2 4 5 8 10 20 23 25 40 46 50 67 92 100 115 125 134 184 200 230 250 268 335 460 500 536 575 670 920 1000 1150 1340 1541 1675 2300 2680 2875 3082 3350 4600 5750 6164 6700 7705 8375 11500 12328 13400 15410 16750 20261 23000 30820 33500 38525 40522 61640 67000 77050 81044 101305 154100 162088 192625 202610 308200 385250 405220 466003 506525 770500 810440 932006 1013050 1357487 1541000 1864012 2026100 2330015 2532625 2714974 3728024 4052200 4660030 5065250 5429948 6787435 9320060 10130500 10859896 11650075 13574870 18640120 20261000 23300150 27149740 31222201 33937175 46600300 54299480 58250375 62444402 67874350 93200600 116500750 124888804 135748700 156111005 169685875 233001500 249777608 271497400 312222010 339371750 466003000 624444020 678743500 780555025 1248888040 1357487000 1561110050 3122220100 3902775125 6244440200 7805550250 15611100500 31222201000