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30011002032222 = 23323671811992533
BaseRepresentation
bin1101101001011011110110…
…00111011001000001011110
310221021000122022221220102000
412310231323013121001132
512413200013010012342
6143454510342543130
76215136415205001
oct664557307310136
9127230568856360
1030011002032222
11962065a297772
1234483bba37aa6
1313990438c88a3
1475a77c629538
153709c5b1a44c
hex1b4b7b1d905e

30011002032222 has 128 divisors (see below), whose sum is σ = 71019650257920. Its totient is φ = 9373826943360.

The previous prime is 30011002032197. The next prime is 30011002032229. The reversal of 30011002032222 is 22223020011003.

30011002032222 is a `hidden beast` number, since 300 + 1 + 1 + 0 + 0 + 20 + 322 + 22 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30011002032195 and 30011002032204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30011002032229) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14065468 + ... + 16058000.

It is an arithmetic number, because the mean of its divisors is an integer number (554841017640).

Almost surely, 230011002032222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30011002032222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35509825128960).

30011002032222 is an abundant number, since it is smaller than the sum of its proper divisors (41008648225698).

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

30011002032222 is a wasteful number, since it uses less digits than its factorization.

30011002032222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992815 (or 1992809 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30011002032222 its reverse (22223020011003), we get a palindrome (52234022043225).

The spelling of 30011002032222 in words is "thirty trillion, eleven billion, two million, thirty-two thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 23 27 46 54 67 69 134 138 181 201 207 362 402 414 543 603 621 1086 1206 1242 1541 1629 1809 3082 3258 3618 4163 4623 4887 8326 9246 9774 12127 12489 13869 24254 24978 27738 36381 37467 41607 72762 74934 83214 109143 112401 218286 224802 278921 327429 557842 654858 836763 1673526 1992533 2510289 3985066 5020578 5977599 7530867 11955198 15061734 17932797 35865594 45828259 53798391 91656518 107596782 133499711 137484777 266999422 274969554 360648473 400499133 412454331 721296946 800998266 824908662 1081945419 1201497399 1237362993 2163890838 2402994798 2474725986 3070493353 3245836257 3604492197 6140986706 6491672514 7208984394 8294914879 9211480059 9737508771 16589829758 18422960118 19475017542 24163447691 24884744637 27634440177 48326895382 49769489274 55268880354 72490343073 74654233911 82903320531 144980686146 149308467822 165806641062 217471029219 223962701733 434942058438 447925403466 555759296893 652413087657 1111518593786 1304826175314 1667277890679 3334555781358 5001833672037 10003667344074 15005501016111 30011002032222