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10222111000064 = 29378916673637
BaseRepresentation
bin1001010011000000010101…
…0010111000011000000000
31100012020001111021010021002
42110300011102320120000
52314434340404000224
633423550054351132
72103344303605325
oct224600522703000
940166044233232
1010222111000064
11329119a195897
12119114435b4a8
13591c302c1c92
14274a77a06b4c
1512ad7961e9ae
hex94c054b8600

10222111000064 has 160 divisors (see below), whose sum is σ = 21230512633440. Its totient is φ = 4912742596608.

The previous prime is 10222111000063. The next prime is 10222111000091. The reversal of 10222111000064 is 46000011122201.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10222111000063) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2810586854 + ... + 2810590490.

It is an arithmetic number, because the mean of its divisors is an integer number (132690703959).

Almost surely, 210222111000064 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 10222111000064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10615256316720).

10222111000064 is an abundant number, since it is smaller than the sum of its proper divisors (11008401633376).

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

10222111000064 is an equidigital number, since it uses as much as digits as its factorization.

10222111000064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5448 (or 5432 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 10222111000064 its reverse (46000011122201), we get a palindrome (56222122122265).

The spelling of 10222111000064 in words is "ten trillion, two hundred twenty-two billion, one hundred eleven million, sixty-four", and thus it is an aban number.

Divisors: 1 2 4 8 16 32 37 64 74 89 128 148 178 256 296 356 512 592 712 1184 1424 1667 2368 2848 3293 3334 3637 4736 5696 6586 6668 7274 9472 11392 13172 13336 14548 18944 22784 26344 26672 29096 45568 52688 53344 58192 61679 105376 106688 116384 123358 134569 148363 210752 213376 232768 246716 269138 296726 323693 421504 426752 465536 493432 538276 593452 647386 843008 853504 931072 986864 1076552 1186904 1294772 1686016 1862144 1973728 2153104 2373808 2589544 3947456 4306208 4747616 5179088 5489431 6062879 7894912 8612416 9495232 10358176 10978862 11976641 12125758 15789824 17224832 18990464 20716352 21957724 23953282 24251516 31579648 34449664 37980928 41432704 43915448 47906564 48503032 68899328 75961856 82865408 87830896 95813128 97006064 165730816 175661792 191626256 194012128 224326523 351323584 383252512 388024256 448653046 539596231 702647168 766505024 776048512 897306092 1079192462 1405294336 1533010048 1552097024 1794612184 2158384924 2810588672 3066020096 3104194048 3589224368 4316769848 6132040192 7178448736 8633539696 14356897472 17267079392 19965060547 28713794944 34534158784 39930121094 57427589888 69068317568 79860242188 114855179776 138136635136 159720484376 276273270272 319440968752 638881937504 1277763875008 2555527750016 5111055500032 10222111000064