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100021202148 = 22374789284659
BaseRepresentation
bin101110100100110111…
…0100110110011100100
3100120011122112112010110
41131021232212303210
53114320411432043
6113541001253020
710140422122230
oct1351156466344
9316148475113
10100021202148
11394673a763a
1217474a94170
1395800240aa
144babbbd5c0
152906026b33
hex1749ba6ce4

100021202148 has 96 divisors (see below), whose sum is σ = 275459788800. Its totient is φ = 27655094016.

The previous prime is 100021202147. The next prime is 100021202201. The reversal of 100021202148 is 841202120001.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is not an unprimeable number, because it can be changed into a prime (100021202147) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 209043 + ... + 493701.

It is an arithmetic number, because the mean of its divisors is an integer number (2869372800).

Almost surely, 2100021202148 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 100021202148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (137729894400).

100021202148 is an abundant number, since it is smaller than the sum of its proper divisors (175438586652).

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

100021202148 is a wasteful number, since it uses less digits than its factorization.

100021202148 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 284809 (or 284807 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

Adding to 100021202148 its reverse (841202120001), we get a palindrome (941223322149).

The spelling of 100021202148 in words is "one hundred billion, twenty-one million, two hundred two thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 47 84 89 94 141 178 188 267 282 329 356 534 564 623 658 987 1068 1246 1316 1869 1974 2492 3738 3948 4183 7476 8366 12549 16732 25098 29281 50196 58562 87843 117124 175686 284659 351372 569318 853977 1138636 1707954 1992613 3415908 3985226 5977839 7970452 11955678 13378973 23911356 25334651 26757946 40136919 50669302 53515892 76003953 80273838 93652811 101338604 152007906 160547676 177342557 187305622 280958433 304015812 354685114 374611244 532027671 561916866 709370228 1064055342 1123833732 1190728597 2128110684 2381457194 3572185791 4762914388 7144371582 8335100179 14288743164 16670200358 25005300537 33340400716 50010601074 100021202148