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100023331212 = 2232737101106213
BaseRepresentation
bin101110100100111011…
…0101110100110001100
3100120011210112200122200
41131021312232212030
53114321433044322
6113541115041500
710140446200350
oct1351166564614
9316153480580
10100023331212
11394686211a2
1217475740290
1395805bb1ac
144bac1b5460
1529062e78ac
hex1749dae98c

100023331212 has 144 divisors (see below), whose sum is σ = 299707017792. Its totient is φ = 27530150400.

The previous prime is 100023331157. The next prime is 100023331237. The reversal of 100023331212 is 212133320001.

100023331212 is a `hidden beast` number, since 100 + 0 + 23 + 331 + 212 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 888618 + ... + 994830.

Almost surely, 2100023331212 is an apocalyptic number.

100023331212 is a gapful number since it is divisible by the number (12) 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 100023331212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149853508896).

100023331212 is an abundant number, since it is smaller than the sum of its proper divisors (199683686580).

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

100023331212 is a wasteful number, since it uses less digits than its factorization.

100023331212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 106368 (or 106363 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

Adding to 100023331212 its reverse (212133320001), we get a palindrome (312156651213).

The spelling of 100023331212 in words is "one hundred billion, twenty-three million, three hundred thirty-one thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 37 42 63 74 84 101 111 126 148 202 222 252 259 303 333 404 444 518 606 666 707 777 909 1036 1212 1332 1414 1554 1818 2121 2331 2828 3108 3636 3737 4242 4662 6363 7474 8484 9324 11211 12726 14948 22422 25452 26159 33633 44844 52318 67266 78477 104636 106213 134532 156954 212426 235431 313908 318639 424852 470862 637278 743491 941724 955917 1274556 1486982 1911834 2230473 2973964 3823668 3929881 4460946 6691419 7859762 8921892 10727513 11789643 13382838 15719524 21455026 23579286 26765676 27509167 32182539 35368929 42910052 47158572 55018334 64365078 70737858 75092591 82527501 96547617 110036668 128730156 141475716 150185182 165055002 193095234 225277773 247582503 300370364 330110004 386190468 396917981 450555546 495165006 675833319 793835962 901111092 990330012 1190753943 1351666638 1587671924 2381507886 2703333276 2778425867 3572261829 4763015772 5556851734 7144523658 8335277601 11113703468 14289047316 16670555202 25005832803 33341110404 50011665606 100023331212